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2 2 5. Let A =( ). Which one of the following is true? LEA 26 ) (I is the 2 x 2 identity matrix) A) = 3 is an eigenvalue of A and is a corresponding eigenvector 2 (B) A +31 is not diagonalizable C) = 4 is an eigenvalue of A and is a corresponding eigenvector D) A is diagonalizable E) None of the above.
3 2 5. Let A =( Let A -2 7). W ). Which one of the following is true? (I is the 2 x 2 identity matrix) 1 A) X= 4 is an eigenvalue of A and is a corresponding eigenvector B) A + 31 is diagonalizable C) = 5 is an eigenvalue of A and is a corresponding eigenvector D) A is diagonalizable E) None of the above.
10. Which of the following is a one-dimensional subspace of R3? A) {(2, y, z)?|x2 – y + 2z=0}. B) {(x,y, 2)7|x + 24 +32 =0}. C) The solution set of Av = 0 where A= 1 -2 3 -1 4 0 0 2 3 D) {(x, y, z)?|x + 2y + 32 = 4}. E) The solution set of Av = 0 where A= 1 0 2 0 2 0 11 0 5
