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Which of the following statements are correct ? Choose all that apply. Matrix mu

ID: 3113481 • Letter: W

Question

Which of the following statements are correct? Choose all that apply.

Matrix multiplication is commutative.

Reduced row echelon form of a matrix is unique.

Row echelon form of a matrix is always unique.

Matrix addition is commutative.

A

Matrix multiplication is commutative.

B

Reduced row echelon form of a matrix is unique.

C

Let be a   matrix and be a matrix. Then the multiplication is possible.

D

Consider matrix ,   a matrix. is an expression for matrix multiplication of matrix by a vector matrix of size and the right hand side is a matrix with all entries equal to zero.

E

Let be a   matrix and be a matrix. Then the multiplication is possible.

F

Row echelon form of a matrix is always unique.

G

Matrix addition is commutative.

Explanation / Answer

Ans

A.Incorrect

It is not commutative

B.Correct

C.Correct

It is possible if two matrix of m×n and a×b

Then n=a multiplication is possible

D.Correct

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