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  • Help me solve this Which of the following is FALSE if A,B,C are 3 matrices of same order?

Which of the following is FALSE if A,B,C are 3 matrices of same order?

  • Option 1)

    Ax(B+C)=AxB+AxC

  • Option 2)

    (A+B)xC=AxC+BxC

  • Option 3)

    (A+B)xC=AxC+AxB

  • Option 4)

    Ax(A+B)=A^{2}+AxB

 

Answers (1)

best_answer

As we learnt

 

Property of matrix multiplication -

 

It is distributive over addition 

- wherein

A\times \left ( B+C \right )= \left ( A\times B \right )+\left ( A\times C \right )

 

 

Since (A+B)xC=AxC+AxB


Option 1)

Ax(B+C)=AxB+AxC

Option 2)

(A+B)xC=AxC+BxC

Option 3)

(A+B)xC=AxC+AxB

Option 4)

Ax(A+B)=A^{2}+AxB

Posted by

Himanshu

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