pls. answer 9 and 10 8. Given the matrix B =1 111 11Which of the following matrices solves X in the matrix cquation X + I3 = 2(X – B)?2 3 33 2 21 2 2(2 1 1(а) |3 2 3(b) 2 3 2(c) 2 1 2(d) |1 2 13 3 22 2 32 2 11 1 29. Which of the following values of k satisfics the following matrix equation?( 1(k)(k 1 1)1 00 2 -31= 0.1(a) 2(b) 1(c) 0(d) –110. The trace of a square matrix A, denoted by tr(A), is defined as the sum of the main diagonal entricsof A. If X and Y are n-by-n matrices, which of the following is a true statement?(a) tr(X²) = [tr(X)]².(b) If tr(X) = 0, then X = 0,.(c) tr(XY) = tr(X)tr(Y).(d) tr(XY) = tr(YX).

This question can be solved using the concept of multiplication of matrix and properties of trace of…

9. Which of the following valucs of k satisfics the following matrix equation? ( 1 0 \ (k (k 1 1)|1 0 1 = 0. 2 0 2 -31 (a) 2 (b) 1 (c) 0 (а) —1 10. The trace of a square matrix A, denoted by tr(A), is defined as the sum of the main diagonal entries of A. If X and Y are n-by-n matrices, which of the following is a true statement? (a) tr(X²) = [tr(X)². (b) If tr(X) = 0, then X = 0m- %3D %3D (c) tr(XY) = tr(X)tr(Y). (d) tr(XY) = tr(YX).