Consider the matrixThis matrix is .Question 1AnswerSelect one:a.positive semi definite, but neither positive definite nor negative semi-definite.b.indefinite.c.None of the other options are correct.d.negative semi definite, but neither negative definite nor positive semi-definite.e.negative definite.f.The concept of definiteness cannot be applied to this matrix.g.both positive semi-definite and negative sense-definite.h.positive definite.

B = [2 0 0; 1 1 0; 0 -1 1]; C = [2 1 0; 0 1 -1; 0 0 1]; A = B * C; The matrix � A: a. Is symmetric, positive definite, and non-singular b. Is symmetric, not positive definite, and non-singular c. Is non-symmetric, positive definite, and singular d. Is non-symmetric, not positive definite, and non-singular e. Is symmetric, positive definite, and singular

Consider the matrix . Which of the following statements is correct?Question 1Select one:Select one:a.None of the other statements are correct.b.The matrix is invertible and its determinant is not equal to zero.c.The matrix is not invertible and its determinant is not equal to zero.d.The matrix is not invertible and its determinant is equal to zero.e.The matrix is invertible and its determinant is equal to zero.

Consider the matrix . This matrix .Question 27Select one:Select one:a.is idempotent but not symmetric.b.is symmetric but not idempotent.c.does not have a determinant.d.None of the other answers are correct.e.is both symmetric and idempotent.

[a b c] is a:Question 4Answera.Row matrix.b.Diagonal matrix.c.Column matrix.d.Zero matrix.

Consider the following matrix:𝐴 = !𝑎 𝑏𝑐 𝑑'a, b, c and d are real numbersState whether each of the following statements is true or false. Explain.1 1DE XF D E- -=