1 point Consider the following general matrix equation m11 m

(1 point) Consider the following general matrix equation: m11 m12 2 m21 m22 2 which can also be abbreviated as: By definition, the determinant of M is given by det (M) ml 1 m22-m 12m21 The following questions are about the relationship between the determinant of M and the ability to solve the equation above for A in terms of X or for X in terms of A. Check the boxes which make the statement correct: If the det (M) 0 then A. given any X there is one and only one A which will satisfy the equation. B. some values of X will have more than one value of A which satisfy the equation C. given any A there is one and only one X which will satisfy the equation. D. some values of A (such as A = 0 ) will allow more than one X to satisfy the equation E. some values of X will have no values of A which satisfy the equation F. some values of A will have no values of X which will satisfy the equation. Check the boxes which make the statement correct: If the det (M) = 0 then A. some values of A (such as A = 0 ) will allow more than one X to satisfy the equation. B. given any A there is one and only one X which will satisfy the equation C. given any X there is one and only one A which will satisfy the equation. D. some values of A will have no values of X which will satisfy the equation E. there is no value of X which satisfies the equation when A = 0

Solution

1 c option

2 B, D,E

3. c & D