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

Two matrices A and B are multiplied to get AB if:Question 29Answera.No. of rows of A is equal to no. of columns of B.b.None of these.c.Both are rectangular.d.Both have same order.

Which type of matrix has all elements zero except those on the main diagonal? a. Transpose matrix b. Zero matrix c. Diagonal matrix d. Identity matrix

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

Use the fact that matrices A and B are row-equivalent.A = −2 −5 8 0 −17 1 3 −5 1 5−5 −9 13 7 −671 7 −13 5 −3B = 1 0 1 0 1 0 1 −2 0 30 0 0 1 −50 0 0 0 0(a) Find the rank and nullity of A.rank nullity     (b) Find a basis for the nullspace of A. (c) Find a basis for the row space of A. (d) Find a basis for the column space of A. (e) Determine whether or not the rows of A are linearly independent.independentdependent    (f) Let the columns of A be denoted by a1, a2, a3, a4, and a5. Which of the following sets is (are) linearly independent? (Select all that apply.){a1, a2, a4}{a1, a2, a3}{a1, a3, a5}

Consider the matrices and  .Calculate .