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Matrix multiplication is not commutative...

Matrix multiplication is not commutative in general.

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Matrix m ultiplication is commutative.

Multiplication is not commutative for integers.

Knowledge Check

  • Let A and B be n-rowed square matrices STATEMENT - 1 The identity (x+y)^(2)=x^(2)+2xy+y^(2) doesn't hold when x and y are substituted by A and B. and STATEMENT- 2 : Matrix multiplication is not commutative

    A
    Statement -1 is True, Statement -2 is True , Statement -2 is a correct explanation for Statement-1
    B
    Statement-1 is True, Statement -2 is True , Statement -2 is NOT a correct explanation for Statement-1
    C
    Statement -1 is True, Statement -2 is False
    D
    Statement -1 is False , Statement -2 is True

  • Statement 1: The product of two diagonal matrices of order 3 is also a diagonal matrix. Statement -2 : In general, matrix multiplication is non-commutative.

    A
    Statement 1: is true , statement -2 is true and statement -2 is correct explanation for statement -1 .
    B
    Statement 1: is true, statement-2 is true and statement -2 is NOT the correct explanation for statement -1.
    C
    Statement 1: is true, statement -2is false.
    D
    Statement -1 is false, statement -2 is true.

  • Let A and B two symmetric matrices of order 3. Statement 1 : A(BA) and (AB)A are symmetric matrices. Statement 2 : AB is symmetric matrix if matrix multiplication of A with B is commutative.

    A
    Statement 1 is false, statement 2 is true.
    B
    Statement 1 is true, statement 2 is true, statement 2 is a correct explanation for statement 1.
    C
    Statement 1 is true, statement 2 is true, statement 2 is not a correct explanation for statement 1.
    D
    Statement 1 is true, statement 2 is false.

    • Similar Questions

    Explore conceptually related problems

    Matrix multiplication is associative

    Commutative law

    Let A and B be two symmetric matrices of order 3. Statement-1 : A(BA) and (AB)A are symmetric matrices. Statement-2 : AB is symmetric matrix if matrix multiplication of A with B is commutative. Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1. Statement-1 is true, Statement-2 is true; Statement-2 is true; Statement-2 is not a correct explanation for Statement-1. Statement-1 is true, Statement-2 is false. Statement-1 is false, Statement-2 is true.

    Property 2 (commutativity): for any two integers a and bwe have a xx b=b xx a that is multiplication of integers is commutative.

    Let A and B are symmetric matrices of order 3. Statement -1 A (BA) and (AB) A are symmetric matrices. Statement-2 AB is symmetric matrix, if matrix multiplication of A with B is commutative.

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