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Please Solve RD Sharma Class 12 Chapter 4 Algebra of Matrices Exercise Very Short Asnwer Question 3 Maths Textbook Solution.

Answers (1)

I infoexpert27

Answer: $AB=\begin{bmatrix} -7\\+2 \end{bmatrix}$ $=\begin{bmatrix} -7\\2 \end{bmatrix}$

Hint: Here, we use the basic multiplication rule, rule is one’s column and second’s row should be match, then multiplication is possible.

Given: $A=\begin{bmatrix} 4 & 3\\ 1 & 2 \end{bmatrix}$ , $B=\begin{bmatrix} -4\\3 \end{bmatrix}$

Solution:

Here A has 2 number of column and B has 2 number of row

$AB = \begin{bmatrix} 4 &3 \\ 1& 2 \end{bmatrix}\begin{bmatrix} -4\\3 \end{bmatrix}=\begin{bmatrix} -16+9 \\ -4+6 \end{bmatrix}=\begin{bmatrix} -7\\+2 \end{bmatrix}$

$AB=\begin{bmatrix} -7\\2 \end{bmatrix}$

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