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  • If A is a square matrix of order n and k is a scalar, then, adj(kA) is equal toOption: 1 adj(A) if n=1O

If A is a square matrix of order n and k is a scalar, then, adj(kA) is equal to

Option: 1

adj(A) if n=1


Option: 2

adj(A) if k=1


Option: 3

kn-1Iadj(A)I


Option: 4

Both a and b is correct


Answers (1)

best_answer

 

 

Properties of adjoint of Matrix - Part 2 -

Properties of adjoint of matrix

 

6.  If A is a square matrix of order n and k is a scalar, then, adj(kA) = kn-  1·(adj A)

 

-

Using property adj(kA) = kn-1·(adj A)

put n=1 

adj(kA) = k1-1·(adj A)=adj A

pur k=1

adj(A) = 1n-1·(adj A)=adj A

hence, 

both a and b is correct

Posted by

Ritika Harsh

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