Question: Please explain with steps how to do these questions Q9. The basis for a solution space of given homogenous linear system = 0 = 0

Please explain with steps how to do these questions

Q9. The basis for a solution space of given homogenous linear system = 0 = 0 X1 - 43 = O =0 =0 -2x1 - 22 + 2x3 0 -21 - 22 + 203 =0 -2x1 + 203 = is (1) { (1, 0, 1) } (2) { (1, 0, 1), (0, 1, 0) } (3) { (1, 1, -1), (-1, 0, 1), (-2, -1, 2) } (4) None of the given answers is true. [5]Q20. For a given matrix A = , the matrix P that is orthogonally diagonalizes A is of the following matrices are diagonalizable. I) P = II) P = III) P = 0 (1) A only (2) B only (3) A and B only (4) None of the given answers is true

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