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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 47 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 8 & -3 6 & -9 | = 8(-9)-(-3)6 Finally, we will simplify the numeric expression.

8(-9)-(-3)6

MultPosNeg

a(- b)=- a * b

-72-(-3)6

MultNegPos

(- a)b = - ab

-72-(-18)

SubNeg

a-(- b)=a+b

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