A is 2 × 3, B is 3 × 2 and C is 2 × 2. Match each matrix in List I with its order in List II. | List I | List II | |---|---| | A. AB | I. 2 × 3 | | B. BA | II. 2 × 2 | | C. CA | III. 3 × 2 | | D. BC | IV. 3 × 3 |

A is 2 × 3, B is 3 × 2 and C is 2 × 2.

Question 54

MediumOriginal question

$A$ is 2 × 3, $B$ is 3 × 2 and $C$ is 2 × 2. Match each matrix in List I with its order in List II.

List I	List II
A. $AB$	I. $2 \times 3$
B. $BA$	II. $2 \times 2$
C. $CA$	III. $3 \times 2$
D. $BC$	IV. $3 \times 3$

A-IV, B-II, C-I, D-IIICorrect answerYour answerA-II, B-IV, C-I, D-IIICorrect answerYour answerA-II, B-IV, C-III, D-ICorrect answerYour answerA-IV, B-II, C-III, D-ICorrect answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

$AB$ : rows of $A$ , columns of $B$ , so 2 × 2; $BA$ is 3 × 3.
$CA$ is 2 × 3, and $BC$ is 3 × 2.

Concept: When a product is defined, and its order
Typical timeTypical: 120 s
Your timeYours: —

The rule this testsMultiplication of matrices

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Ten questions from Matrices, at your own pace.

A is 2 × 3, B is 3 × 2 and C is 2 × 2.

Question 54

Explanation