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Mathematics

Given A = [04630−1] and B=[01−12−5−6]\begin{bmatrix}[r] 0 & 4 & 6 \ 3 & 0 & -1 \end{bmatrix} \text{ and } B = \begin{bmatrix}[r] 0 & 1 \ -1 & 2 \ -5 & -6 \end{bmatrix}, is the following possible :

(i) AB

(ii) BA

(iii) A2

Matrices

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Answer

(i) The multiplication AB is possible because the no. of columns in A is equal to the no. of rows in B.

(ii) The multiplication BA is possible because the no. of columns in B is equal to the no. of rows in A.

(iii) The multiplication A2 is NOT possible because the no. of columns in A is not equal to the no. of rows in A.

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