" 12.If "A" is a matrix and "k" is a scalar.Prove that "(-k)A=-(kA)=k(-A)

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

If A is a matrix and k is a scalar; then (kA)^(T)=k(A^(T))

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

Let A be a square matrix and k be a scalar. Prove that (i) If A is symmetric, then kA is symmetric. (ii) If A is skew-symmetric, then kA is skew-symmetric.

If A is a square matrix of order n xx n and k is a scalar, then adj (kA) is equal to (1) k adj A (2) k^n adj A (3) k^(n-1) adj A (4) k^(n+1) adj A

If A is a square matrix of order n xx n and k is a scalar, then adj (kA) is equal to (1) k adj A (2) k^n adj A (3) k^(n-1) adj A (4) k^(n+1) adj A

If A is a square matrix of order n xx n and k is a scalar, then adj (kA) is equal to (1) k adj A (2) k^n adj A (3) k^(n-1) adj A (4) k^(n+1) adj A

Let A be a square matrix and K be a scalar. Prove that : If A is skew-symmetric, then kA is Skew-symmetric.

If k is a scalar and A is a n -square matrix, then |k A|=

If A=[a_(ij)] is a scalar matrix of order nxxn and k is a scalar, then abs(kA)=