P = ) Let A = -15 -8 -8 0 -3 0 24 16 13 Find an invertible matrix P and a diagonal matrix D such that D = P-¹ AP. D=

Let the Matrix A =( 1 -2 -6 , 0 3 7 , 1 -2 5 ) and vector b = (11 , -5 , 9 ) is b in the span of the column space A ?

Let A be a 4 x 4 matrix which is row equivalent to the matrix invertible? Tooo 0 -3 oooo 0 obon HTTN -6 -6 0 0 0 1 Is A

Let x=(4,3, 1, 1) and y (8, 2, 7, 1). Determine which of the following statement(s) is/are true: (i) xy is a scalar (ii) xy" is a matrix (iii) yx is a matrix (iv) xyx is a vector O a. (ii), (i) and (iv) only O b. (i), (ii) and (iv) only Oc. All of the above O d. (i), (ii) and (iii) only.