Question

If A and B are two matrices of order 3 × m and 3 × n respectively,find the order of matrix 5A - 2B.

1. 3 × 3

2. m × 3

3. 3 × n

4. m × n ​

Answer 1

Answer:

$\large \bold \green{ \underline{answer = }} \\ \large \bold \orange{3 \times n}$

Step-by-step explanation:

$\large \bold \implies{a \: 3 \times m \: \: and \: \: b \: 3 \times n \: \: are \: \: two \: \: matrixes} \\ \\ \large \bold \implies{if \: \: m \: = n \: \: then \: \: a \: and \: b \: \: have \: \: same \: \: orders} \\ \\ \large \bold \implies{and \: \: 3 \times n \: \: each} \\ \\ \large \bold \implies{so \: \:the \: \: order \: \: of \: \: (5a - 2b) \: \: same \: \: as \: \: 3 \times n}$

Answer 2

Given :

• A is in order of 3 × m
• B is in order of 3 × n

To FinD :

• Order of 5A - 2B

SolutioN :

Order matrix A is given as 3 × m, add order of matrix B is given as 3 × n.

And we know that while subtracting two matrices order of both should be same. It means m = n.

So, order of matrix A can we written as 3 × m and also it can we written as 3 × m and same from matrix B.

__________________

A.T.Q,

⇒We've to fine order of 5A - 2B.

Also, we know that while multiplying any matrix with a scalar, it's order is not changed. It means order of 5A - 3B should be 3 × m OR 3 × n.

But, 3 × m is not in the provided option. So, answer is 3). 3 × n