Select all the True statements. There may be multiple answer choices. Choose all possible choices. A. For any matrix A and any number r we can always define rA B. All square matrix has Adjoint C. All square matrix has transpose D. It is impossible to have a one-by-one-square matrix E. All square matrix has inverse OF. All square matrix has determinant

Find the values of k that make the following determinant zero. 3-k| 6-k 4 7

Verify the identity by expanding each determinant.

please list only true statements here. if there is more than one option correct, list multiple. please, solve this problem as quick as possible. thank you !

State which property of determinants is illustrated in this equation. | 1-4 6 2 07= 5 -1 2 1-4 6 0 8 -5 5 -1 2 Choose the correct answer below. A. If a multiple of one row of A is added to another row to produce matrix B, then det B = det A. B. IfA and B are square matrices, then det AB = (det A)(det B). O C. If two rows of A are interchanged to produce B, then det B = -det A. O D. If one row of A is multiplied by k to produce B, then det B = k • det A.

Which of the following is false? O The determinant of a matrix can be defined recursively. If the determinant of a matrix is zero, the system AZ = 0 may or may not have solutions. O The determinant of a matrix contains the product of the diagonal entries of that matrix as one of a sum of terms. O If the determinant of a matrix is zero, the null space of that matrix is non-trivial.