If A and B are two matrices of the order 3- m and 3- n respectively and m-n- then order of matrix 5A-2B is

The correct option is C 3× n A_2× m and B_2× n are two matrices. If m=n , then A and B have same orders as 3× n each, s ...

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Standard XII

Mathematics

Scalar Multiplication of a Matrix

If A and ...

Question

If $A$ and $B$ are two matrices of the order $3 \times m$ and $3 \times n$ respectively and $m = n$ , then order of matrix $(5 A - 2 B)$ is

m \times 3

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3 \times 3

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m \times n

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3 \times n

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Solution

The correct option is C $3 \times n$
$A_{2 \times m}$ and $B_{2 \times n}$ are two matrices. If $m = n$ , then $A$ and $B$ have same orders as $3 \times n$ each, so the order of $(5 A - 2 B)$ should be same as $3 \times n$ .

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Similar questions

Q. If A and B are two matrices of order 3 × m and 3 × n respectively and m = n, then the order of 5A − 2B is

(a) m × 3
(b) 3 × 3
(c) m × n
(d) 3 × n

Q. If P and Q are two matrices of orders 3 × n and n × p respectively then the order of the matrix PQ is ___________.

Q. If m and n are the order and degree of the differential equation

{(y_{2})}^{5} + \frac{4 {(y_{2})}^{3}}{y_{3}} + y_{3} = x^{2} - 1

, then
(a) m = 3, n = 3
(b) m = 3, n = 2
(c) m = 3, n = 5
(d) m = 3, n = 1

Assume X, Y, Z, W and P are matrices of order, and respectively. If n = p, then the order of the matrix is

A p × 2 B 2 × n C n × 3 D p × n

If A and B are two matrices of the order 3 $\times m$ and 3 $\times$ n respectively and m = n, then order of matrix (5A - 2B) is
(a) $m \times 3$ (b) $3 \times 3$ (c) $m \times n$
(d) $3 \times n$

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If A and B are two matrices of the order 3×m and 3×n respectively and m=n, then order of matrix (5A−2B) is

The correct option is C 3×nA2×m and B2×n are two matrices. If m=n, then A and B have same orders as 3×n each, so the order of (5A−2B) should be same as 3×n.

If $A$ and $B$ are two matrices of the order $3 \times m$ and $3 \times n$ respectively and $m = n$ , then order of matrix $(5 A - 2 B)$ is

The correct option is C $3 \times n$
$A_{2 \times m}$ and $B_{2 \times n}$ are two matrices. If $m = n$ , then $A$ and $B$ have same orders as $3 \times n$ each, so the order of $(5 A - 2 B)$ should be same as $3 \times n$ .