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McGraw Hill Glencoe Algebra 2, 2012 View details

8. Solving Systems of Equations Using Inverse Matrices

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Exercise 48 Page 204

Use the formula for finding the determinant of a 2* 2 matrix, det(A)=a_(11)a_(22)-a_(21)a_(12).

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Practice makes perfect

The determinant of a matrix is found by subtracting the products of the diagonals. To evaluate the determinant of a 2* 2 matrix, we will use the appropriate formula. | cc a & b c & d | = ad-bcWe can substitute the values from the given matrix into this formula. | cc 9 & -7 -5 & -3 | = 9(-3)-(-7)(-5) Finally, we will simplify the numeric expression.

9(-3)-(-7)(-5)

MultPosNeg

a(- b)=- a * b

-27-(-7)(-5)

MultNegNegTwoPar

(- a)(- b)=a* b

-27-35

SubTerm

Subtract term

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