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A=MX det(M)=m11m22m12m21 The following questions are about the relationship between the determinant of M and the ability to solve the equation above for A in

A=MX

det(M)=m11m22m12m21

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 thedet(M)0

det(M)0then

A.given anyAthere is one and only oneXwhich will satisfy the equation.

B.given anyXthere is one and only oneAwhich will satisfy the equation.

C.some values ofA(such asA=0) will allow more than oneXto satisfy the equation.

D.some values ofXwill have no values ofAwhich satisfy the equation.

E.some values ofA will have no values ofX which will satisfy the equation.

F.some values ofXwill have more than one value ofAwhich satisfy the equation.

Check the boxes which make the statement correct:

If thedet(M)=0

det(M)=0then

A.some values ofA

A(such asA=0

A=0) will allow more than oneX to satisfy the equation.

B.given anyX there is one and only oneA which will satisfy the equation.

C.there is no value ofX which satisfies the equation whenA=0

D.given anyAthere is one and only oneXwhich will satisfy the equation.

E.some values ofAwill have no values ofXwhich will satisfy the equation.

Check the conditions that guarantee thatdet(M)=0

det(M)=0:

A.Given anyA

Athe is one and only oneX which will satisfy the equation.

B.WhenA=0there is more than oneX which satisfies the equation.

C.There is some value ofAfor which no value ofXsatisfies the equation.

D.Given anyX there is one and only oneAwhich will satisfy the equation.

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