Engineering Board Exam Reviewer · Matrix Operations · medium

Given A= bmatrix2&1\0&3 bmatrix and B= bmatrix1&4\2&1 bmatrix, find AB.

1. bmatrix4&9\6&3 bmatrix
2. bmatrix2&4\0&3 bmatrix
3. bmatrix4&9\3&6 bmatrix
4. bmatrix2&1\6&3 bmatrix

Answer

A. bmatrix4&9\6&3 bmatrix

Solution

Row 1: [2(1)+1(2), 2(4)+1(1)]=[4,9]. Row 2: [0(1)+3(2), 0(4)+3(1)]=[6,3]. AB= bmatrix4&9\6&3 bmatrix.

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