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Chapter 6: Q22E (page 307)

Use Cramer's rule to solve the systems in Exercises 22 through 24.

22.|3x+7y=14x+11y=3|

Short Answer

Expert verified

Therefore,

x=-21

Step by step solution

01

Definition. 

In matrices, Cramer's rule expresses the solution in terms of the determinants of the coefficient matrix (i.e., for a square matrix) and of matrices obtained from it by replacing one column by the column vector of right-hand-sides of the equations.

02

To solve. 

Using Cramer's rule, we solve:

detA=37411detA=5x1=173115x1=-105x1=-2x2=31435x2=55x2=1

Therefore,

x=-21.

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For an invertible nxn matrix A, what is the relationship between det (A) and det (A)?

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