Thursday, 5 October 2017
Saturday, 12 August 2017
Friday, 11 August 2017
Saturday, 5 August 2017
GK Trick – बिधानपरिषद (Legislative Council) बाले राज्य
GK Trick – बिधानपरिषद (Legislative Council) बाले राज्य
Saturday, 29 July 2017
Saturday, 22 July 2017
GK Trick – भारत के राष्ट्रपति (President Of India)
राजू– डॉ. राजेन्द्र प्रसाद (Dr. Rajendra Prasad)
राधा– डॉ. सर्वपल्ली राधाकृष्णन (Dr. Sarvepalli Radhakrishnan)
जाकर– डॉ. जाकिर हुसैन (Dr. Zakir Hussain)
गिरी– वाराहगिरि वेंकट गिरि (Varahgiri Venkat Giri)
फखरूद्दीन– फखरूद्दीन अली अहमद (Fakhruddin Ali Ahmed)
रेड्डी – नीलम संजीवा रेड्डी (Nilam Sanjeeva Reddy)
जेल– ज्ञानी जैल सिंह (Gyani Zail Singh)
रमा– रमाशंकर वेंकट रमण (R. Venkat Raman)
शंकर– डॉ शंकर दयाल शर्मा (Dr. Shankar Dayal Sharma)
नारायण – के. आर. नारायणन (K. R. Narayanan)
कलम – डॉ ए.पी.जे. अब्दुल कलाम (Dr. A. P. J. Abdul Kalam)
प्रतिभा – प्रतिभा देवी सिंह पाटिल (Pratibha Devi Singh Patil)
प्रणव – प्रणव मुखर्जी (Pranab Mukharji)
Monday, 17 July 2017
Tuesday, 11 July 2017
Friday, 7 July 2017
Thursday, 6 July 2017
Sunday, 2 July 2017
Friday, 30 June 2017
Thursday, 29 June 2017
Tuesday, 27 June 2017
Monday, 29 May 2017
Wednesday, 24 May 2017
Tuesday, 23 May 2017
Saturday, 6 May 2017
Sunday, 16 April 2017
Monday, 10 April 2017
StudyPlus Trailer
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class 12th Maths - Matrices Part 2 in Hindi
In mathematics, a matrix (plural matrices) is a rectangular array[1] of numbers, symbols, or expressions, arranged in rows and columns.[2][3] For example, the dimensions of the matrix below are 2 × 3 (read "two by three"), because there are two rows and three columns:
{\displaystyle {\begin{bmatrix}1&9&-13\\20&5&-6\end{bmatrix}}.} {\displaystyle {\begin{bmatrix}1&9&-13\\20&5&-6\end{bmatrix}}.}
The individual items in an m × n matrix A, often denoted by ai,j, where max i = m and max j = n, are called its elements or entries.[4] Provided that they have the same size (each matrix has the same number of rows and the same number of columns as the other), two matrices can be added or subtracted element by element (see Conformable matrix). The rule for matrix multiplication, however, is that two matrices can be multiplied only when the number of columns in the first equals the number of rows in the second (i.e., the inner dimensions are the same, n for Am,n × Bn,p). Any matrix can be multiplied element-wise by a scalar from its associated field. A major application of matrices is to represent linear transformations, that is, generalizations of linear functions such as f(x) = 4x. For example, the rotation of vectors in three-dimensional space is a linear transformation, which can be represented by a rotation matrix R: if v is a column vector (a matrix with only one column) describing the position of a point in space, the product Rv is a column vector describing the position of that point after a rotation. The product of two transformation matrices is a matrix that represents the composition of two linear transformations. Another application of matrices is in the solution of systems of linear equations. If the matrix is square, it is possible to deduce some of its properties by computing its determinant. For example, a square matrix has an inverse if and only if its determinant is not zero. Insight into the geometry of a linear transformation is obtainable (along with other information) from the matrix's eigenvalues and eigenvectors.
Applications of matrices are found in most scientific fields. In every branch of physics, including classical mechanics, optics, electromagnetism, quantum mechanics, and quantum electrodynamics, they are used to study physical phenomena, such as the motion of rigid bodies. In computer graphics, they are used to manipulate 3D models and project them onto a 2-dimensional screen. In probability theory and statistics, stochastic matrices are used to describe sets of probabilities; for instance, they are used within the PageRank algorithm that ranks the pages in a Google search.[5] Matrix calculus generalizes classical analytical notions such as derivatives and exponentials to higher dimensions. Matrices are used in economics to describe systems of economic relationships.
A major branch of numerical analysis is devoted to the development of efficient algorithms for matrix computations, a subject that is centuries old and is today an expanding area of research. Matrix decomposition methods simplify computations, both theoretically and practically. Algorithms that are tailored to particular matrix structures, such as sparse matrices and near-diagonal matrices, expedite computations in finite element method and other computations. Infinite matrices occur in planetary theory and in atomic theory. A simple example of an infinite matrix is the matrix representing the derivative operator, which acts on the Taylor series of a function.
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Sunday, 9 April 2017
Class 12th - Matrices in Hindi
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Sunday, 12 February 2017
Lesson # 20 Past Continuous Tense
| Negative | Subject + Was/Were + Not + Verb (Ist form) + Ing + Object + (.) |
Wednesday, 8 February 2017
Class X Maths -Introduction of Trigonometry ( त्रिकोणमिति)
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Sunday, 5 February 2017
Lesson # 18 Present Perfect Tense पहचान - है, गया है, गई है, लिया है, च...
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Lesson # 17 Present Continuous Tense
Present Continuous Tense
It is used to express a continued or ongoing action at present time. It expresses an action which is in progress at the time of speaking. For example, a person says, “I am writing a letter”. It means that he is in the process of writing a letter right now. Such actions which are happening at time of speaking are expressed by present continuoustense. Present Continuous tense is also called Present progressive tense.
Rules. Auxiliary verb “am or is or are” is used in sentence. 1st form of verb or base verb + ing (present participle) is used as main verb in sentence.
Structure of sentence
Positive Sentence
• Subject + auxiliary verb + main verb-ing (Present participle) + object
• Subject + am/is/are + (1st form of verb or base verb + ing) + object
• Subject + auxiliary verb + main verb-ing (Present participle) + object
• Subject + am/is/are + (1st form of verb or base verb + ing) + object
If the subject is “I” then auxiliary verb “am” is used after subject in sentence.
If the subject is “He, She, It, singular or proper name” then auxiliary verb “is” is used after subject in sentence.
If subject is “You, They or plural” then auxiliary verb “are” is used after subject in sentence.
The participle “ing” is added to the 1st form of verb i.e. going (go) writing (write)
Examples
I am playing cricket.
He is driving a car
They are reading their lessons.
If the subject is “He, She, It, singular or proper name” then auxiliary verb “is” is used after subject in sentence.
If subject is “You, They or plural” then auxiliary verb “are” is used after subject in sentence.
The participle “ing” is added to the 1st form of verb i.e. going (go) writing (write)
Examples
I am playing cricket.
He is driving a car
They are reading their lessons.
Negative Sentence
• Subject + auxiliary verb + not + main verb-ing (Present participle) + object
• Subject + am/is/are + not + (1st form of verb + ing) + object
• Subject + auxiliary verb + not + main verb-ing (Present participle) + object
• Subject + am/is/are + not + (1st form of verb + ing) + object
Rules for using auxiliary verbs (am or is or are) after subject in negative sentences are same as mentioned above.
Examples.
I am not playing cricket.
He is not driving a car
They are not reading their lessons.
Examples.
I am not playing cricket.
He is not driving a car
They are not reading their lessons.
Interrogative Sentences
• Auxiliary verb + Subject + main verb-ing (Present participle) + object
• Am/is/are + Subject + (1st form of verb or base verb + ing) + object
For making interrogative sentences, the sentence is started with auxiliary verb rather than putting auxiliary verb inside the sentence. If the subject is “I” the sentence starts with auxiliary verb “am”. If the subject is “He, She, It, singular or proper name” the sentence starts with auxiliary verb “is”. If subject is “You, They or plural” the sentence starts with auxiliary verb “are”.
Examples.
Am I playing cricket?
Is he driving a car?
Are they reading their lessons?
Am I playing cricket?
Is he driving a car?
Are they reading their lessons?
More Examples
Positive Sentences
I am listening to the news
You are washing your clothes
She is riding on horse
They are playing football.
It is raining
I am listening to the news
You are washing your clothes
She is riding on horse
They are playing football.
It is raining
Negative Sentence
I am not listening to the news.
You are not washing your clothes.
She is not riding on a horse.
They are not playing football.
It is not raining.
I am not listening to the news.
You are not washing your clothes.
She is not riding on a horse.
They are not playing football.
It is not raining.
Interrogative Sentences
Am I listening to the news?
Are you washing your clothes?
Is she riding on a horse?
Are they playing football?
Is it raining?
Am I listening to the news?
Are you washing your clothes?
Is she riding on a horse?
Are they playing football?
Is it raining?
Tuesday, 31 January 2017
Monday, 30 January 2017
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Thursday, 26 January 2017
Monday, 23 January 2017
Saturday, 14 January 2017
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Thursday, 5 January 2017
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