A, B and C are three matrices each of order 5; the order of matrix CA + B 2 is : 1. 5 × 4 2. 5 × 5 3. 4 × 5 4. 5 × 3

Let resultant matrix of CA be R. C 5 × 5 × A 5 × 5 = R m × n We know that, For matrix multiplication : No. of columns in C must be equal to the number of rows in A. Resultant matrix order = No. of rows in C × No. of columns in A. ∴ m = 5 and n = 5. ∴ Order of matrix R will be 5 × 5. Let resultant matrix of B 2 be S. B 5 × 5 × B 5 × 5 = S g × h Resultant matrix order = No. of rows in B × No. of columns in B. ∴ g = 5 and h = 5. ∴ Order of matrix S will be 5 × 5. ⇒ CA + B 2 ⇒ R + S Addition of matrix possible between matrix of same order and same is the order of resultant matrix. Hence, resultant matrix's order = 5 × 5 Hence, Option 2 is the correct option.

Mathematics

A, B and C are three matrices each of order 5; the order of matrix CA + B² is :
5 × 4
5 × 5
4 × 5
5 × 3

Matrices

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Answer

Let resultant matrix of CA be R.

C_{5 × 5} × A_{5 × 5} = R_{m × n}

We know that,

For matrix multiplication :

No. of columns in C must be equal to the number of rows in A.

Resultant matrix order = No. of rows in C × No. of columns in A.

∴ m = 5 and n = 5.

∴ Order of matrix R will be 5 × 5.

Let resultant matrix of B² be S.

B_{5 × 5} × B_{5 × 5} = S_{g × h}

Resultant matrix order = No. of rows in B × No. of columns in B.

∴ g = 5 and h = 5.

∴ Order of matrix S will be 5 × 5.

⇒ CA + B²

⇒ R + S

Addition of matrix possible between matrix of same order and same is the order of resultant matrix.

Hence, resultant matrix's order = 5 × 5

Hence, Option 2 is the correct option.

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A, B and C are three matrices each of order 5; the order of matrix CA + B² is :
5 × 4
5 × 5
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