If -123- A -45- the order of matrix A isA- 3 - 2B- 3 - 1C- 2 - 3D- 2 - 1

The correct option is A 3 x 2 If order of matrix A is m × n and order of matrix B is n × p then, order of AB = m × p, Here Order of [1 2 3] = 1 × 3 Order of [4 ...

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Standard X

Mathematics

Multiplication of Matrices

If [123] A =[...

Question

If [1 2 3] A = [4 5], the order of matrix A is

3 x 2

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3 x 1

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2 x 3

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2 x 1

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Solution

The correct option is A
3 x 2

If order of matrix A is m $\times$ n and order of matrix B is n $\times$ p then,

order of AB = m $\times$ p, Here

Order of [1 2 3] = 1 $\times$ 3

Order of [4 5] = 1 $\times$ 2

$∴$ Order of A is 3 $\times$ 2

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If [1 2 3] A = [4 5], the order of matrix A is

The correct option is A 3 x 2 If order of matrix A is m × n and order of matrix B is n × p then, order of AB = m × p, Here Order of [1 2 3] = 1 × 3 Order of [4 5] = 1 × 2 ∴ Order of A is 3 × 2

The correct option is A
3 x 2

If order of matrix A is m $\times$ n and order of matrix B is n $\times$ p then,

order of AB = m $\times$ p, Here

Order of [1 2 3] = 1 $\times$ 3

Order of [4 5] = 1 $\times$ 2

$∴$ Order of A is 3 $\times$ 2