Math  /  Algebra

QuestionA, B and C are three different matrices. The order m×nm \times n of the AA matrix is 2×32 \times 3. In order for the operation A×(BC)A \times(B-C) to be possible, matrices BB and CC cannot be the order of a. 3×23 \times 2 b. 3×33 \times 3 c. 3×13 \times 1 d. 2×22 \times 2

Studdy Solution
Evaluate each option to determine which does not satisfy the conditions: - Option a: 3×2 3 \times 2 (valid for both subtraction and multiplication) - Option b: 3×3 3 \times 3 (valid for both subtraction and multiplication) - Option c: 3×1 3 \times 1 (valid for both subtraction and multiplication) - Option d: 2×2 2 \times 2 (invalid for multiplication because the number of rows does not match the number of columns in A A )
Therefore, matrices B B and C C cannot be the order of 2×2 2 \times 2 .
The correct answer is: d. 2×2 \boxed{d. \ 2 \times 2}

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