If A-aij-3-3-B-bij-2-2-C-cij-3-3 are three matrices so that -A-3-B-2-C-4- then -ABC- is equal to

The correct option is C Not definedIf A=[a_ij]_3×3,B=[b_ij]_2×2, then AB does not exists. ∵ Number of columns of A is not same as number ...

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Byju's Answer

Standard XII

Mathematics

Definition of Functions

If A=[aij]3...

Question

If $A = [a_{i j}]_{3 \times 3}, B = [b_{i j}]_{2 \times 2}, C = [c_{i j}]_{3 \times 3}$ are three matrices so that $| A | = 3, | B | = - 2, | C | = 4,$ then $| A B C |$ is equal to

24

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Solution

The correct option is C Not defined
If $A = [a_{i j}]_{3 \times 3}, B = [b_{i j}]_{2 \times 2},$ then
$A B$ does not exists.
$∵$ Number of columns of $A$ is not same as number of rows of $B$
So, $A B C$ also does not exist.
$∴ | A B C |$ is not defined.

Hence, option D.

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