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Mathematics

If A=[32] and B=[1420]A = \begin{bmatrix}[r] 3 & -2 \end{bmatrix} \text{ and } B = \begin{bmatrix}[r] -1 & 4 \ 2 & 0 \end{bmatrix}

Assertion (A) : Product AB of the two matrices A and B is possible

Reason (R) : Number of columns of matrix A is equal to number of rows in matrix B.

  1. A is true, R is false

  2. A is false, R is true

  3. Both A and R are true, and R is the correct reason for A

  4. Both A and R are true, and R is incorrect reason for A.

Matrices

ICSE Sp 2025

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Answer

Order of matrix A = 1 × 2

Order of matrix B = 2 × 2

Since, no. of columns in A is equal to number of rows in B.

∴ AB is possible.

∴ Assertion (A) and Reason (R) is true.

Hence, Option 3 is the correct option.

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