Home
Class 12
MATHS
If A is 3 xx 3 invertible matrix, then s...

If A is `3 xx 3` invertible matrix, then show that for any scalar k (non-zero),kA is invertible and `(kA)^-1=1/kA^-1I`

Promotional Banner

Similar Questions

Explore conceptually related problems

If A 3xx3 invertible matrix, then show that for any scalar 'k' (non-zero), kA is invertible and (kA)^-1=1/kA^-1

If A is 3xx3 invertible matrix,then show that for any scalar k( non-zero),kA is invertible and (kA)^(-1)=(1)/(k)A^(-1)I

If A is skew symmetric then kA is a ……. (k is any scalar)

If A is a matrix of order 3, then det(kA) is

If A is an invertible matrix of order n and k is any positive real number, then the value of [det(kA)]^(1) det A is

If A is an invertible matrix of order n and k is any positive real number. Then the value of [del (kA)]^(-1) det A is :

If A is a square matrix of order nxxn and k is a scalar, then adj(kA)=

If A is invertible matrix of order 3xx3 then |A^(-1)|="........."

If A is any matrix and k any scalar, then prove that (-k) A = -(kA) = K(-A)