Check sibling questions

Here, scalar means a number

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What will be 3A?

Multiplication of a Matrix by a scalar - Part 2

Here, 3 will be multiplied to each element

Multiplication of a Matrix by a scalar - Part 3

Let’s take another example

Multiplication of a Matrix by a scalar - Part 4

Note: Multiplying a number to a matrix is different than

multiplying a number to a determinant

 

What about negative of a matrix?

 

Multiplication of a Matrix by a scalar - Part 5

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Transcript

Let A = [■8(3&[email protected]&4)] 3A = 3[■8(3&[email protected]&4)] =[■8(3×3&3×[email protected]×1&3×4)] = [■8(9&[email protected]&12)] Let B = [■8(3&[email protected]&[email protected]&3)] −5B = −5[■8(3&[email protected]&[email protected]&3)] =[■8(−5×3&−5×[email protected]−5×1&−5×[email protected]−5×5&−5×3)] =[■8(−15&−[email protected]−5&−[email protected]−25&−15)] For matrix A = [■8(3&[email protected]&4)] Negative of A = −A = −1 × A = −1 × [■8(3&[email protected]&4)] = [■8(−3&−[email protected]−1&−4)] Similarly, If X = [■8(−9&12&−[email protected]&6&0)] −X = [■8(9&−12&[email protected]−5&−6&0)] Note: When calculating negative, we change the signs of all the elements

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.