Use appropriate algorithmic way to justify if A is invertible. Find A^-1 if that exists by using the algorithm. A = [1 0 0 0 2 3 4 0 2 0 2 1 1 2 3 1] Now answer the followings with explanation: (i) Is A^T invertible? If so write it's inverse without any elementary row operation. (ii) Let B and C be any two invertible 4 times 4 matrix. How many solutions does the equation (ABC)^TX = 0 have?
Show transcribed image textUse appropriate algorithmic way to justify if A is invertible. Find A^-1 if that exists by using the algorithm. A = [1 0 0 0 2 3 4 0 2 0 2 1 1 2 3 1] Now answer the followings with explanation: (i) Is A^T invertible? If so write it's inverse without any elementary row operation. (ii) Let B and C be any two invertible 4 times 4 matrix. How many solutions does the equation (ABC)^TX = 0 have?