For matrices A and B, if AB exists, then which of the following is always true? A. Number of columns of A = Number of rows of B B. Number of rows of A = Number of columns of B C. A and B are square matrices D. A and B have the same order Answer: A) Number of columns of A = Number of rows of B Explanation: For AB to be defined, the number of columns in A must equal the number of rows in B. This is the fundamental condition for matrix multiplication.

imo class 12 matrices

For matrices A and B, if AB exists, then which of the following is always true?

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For matrices A and B, if AB exists, then which of the following is always true?

A. Number of columns of A = Number of rows of B
B. Number of rows of A = Number of columns of B
C. A and B are square matrices
D. A and B have the same order

Answer: A) Number of columns of A = Number of rows of B

Explanation: For AB to be defined, the number of columns in A must equal the number of rows in B. This is the fundamental condition for matrix multiplication.

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