Consider the following general matrix equation: as m11 m12 a2 m21 m22 which can also be...

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Consider the following general matrix equation: as m11 m12 a2 m21 m22 which can also be abbreviated as: A = MX By definition, the determinant of M is given by det (M) = mum2 - mızm21 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 A there is one and only one X which will satisfy the equation. B. some values of A (such as A = 0) will allow more than one X to 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. some values of X will have more than one value of A which satisfy the equation. F. some values of X will have no values of A which satisfy the equation. Check the boxes which make the statement correct: If the det (M) = 0 then A. given any A there is one and only one X which will satisfy the equation. B. some values of A will have no values of X which will satisfy the equation. C. given any X there is one and only one A which will satisty the equation. D. some values of A (such as A = 0) willallow more than one X to satisty the equation. E. there is no value ot X which satisfies the equation when A = 0. Check the conditions that guarantee that det (M) = 0: OA. When A = 0 there is more than one X which satisfies the equation. B. Given any A the is one and only one X which will satisfy the equation. C. There is some value of A for which no value of X satisfies the equation. D. Given any X there is one and only one A which will satisfy the equation. Consider the following general matrix equation: as m11 m12 a2 m21 m22 which can also be abbreviated as: A = MX By definition, the determinant of M is given by det (M) = mum2 - mızm21 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 A there is one and only one X which will satisfy the equation. B. some values of A (such as A = 0) will allow more than one X to 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. some values of X will have more than one value of A which satisfy the equation. F. some values of X will have no values of A which satisfy the equation. Check the boxes which make the statement correct: If the det (M) = 0 then A. given any A there is one and only one X which will satisfy the equation. B. some values of A will have no values of X which will satisfy the equation. C. given any X there is one and only one A which will satisty the equation. D. some values of A (such as A = 0) willallow more than one X to satisty the equation. E. there is no value ot X which satisfies the equation when A = 0. Check the conditions that guarantee that det (M) = 0: OA. When A = 0 there is more than one X which satisfies the equation. B. Given any A the is one and only one X which will satisfy the equation. C. There is some value of A for which no value of X satisfies the equation. D. Given any X there is one and only one A which will satisfy the equation.

Answer rating: 100% (QA)

In the 1st problem options A B C and F are incorre... View the full answer