Question 46The product of A = [1−2−34]\begin{bmatrix*}[r] 1 & -2 \ -3 & 4 \end{bmatrix*}[1−3−24] and matrix M, AM = B where B = [224]\begin{bmatrix*}[r] 2 \ 24 \end{bmatrix*}[224], then the order of matrix M is ............... .2 × 22 × 11 × 24 × 1

Question

Question 46The product of A = [1−2−34]\begin{bmatrix*}[r] 1 & -2 \ -3 & 4 \end{bmatrix*}[1−3​−24​] and matrix M, AM = B where B = [224]\begin{bmatrix*}[r] 2 \ 24 \end{bmatrix*}[224​], then the order of matrix M is ............... .2 × 22 × 11 × 24 × 1

Accepted Answer

Order of matrix A = 2 × 2Order of matrix B = 2 × 1Order of matrix M (let) = a × bWe know that,Two matrix can be multiplied if the no. of columns of the first matrix is equal to the no. of rows of the second matrix and the resultant matrix has the no. of rows of first matrix and no. of columns of second matrix.Given,⇒ AM = B⇒ A2 × 2 × Ma × b = B2 × 1⇒ a = 2 and b = 1.Order of matrix M = 2 × 1.Hence, Option 2 is the correct option.

Multiple-Choice Questions — Question 46

Question 46