Use the determinant feature of a graphing calculator to solve the system by Cramer's rule . (Round to one decimal place.)
-2.6x - 0.7y + 5.3z - 3.4w = 2.9 6.5y + 0.7w = -1.8
4.0z - 2.2w = 1.5
4.9x + 0.6w = 3.2
A) {(0.5, -0.4, 1.1, 1.3)}
B) {(0.5, 0.4, 1.1, -6.3)}
C) {(-0.5, -0.4, 1.1, 9.4)}
D) {(0.5, -0.4, -0.3, -1.3)}

Question

Quizplus · Accepted Answer

Cramer's rule involves using determinants to solve systems of linear equations. The correct answer is obtained by calculating the determinant of the coefficient matrix and the determinants of matrices obtained by replacing one column of the coefficient matrix with the column of constants. Then, each variable is found by dividing the determinant of its modified matrix by the determinant of the coefficient matrix. The calculations, which are not shown here, lead to the solution set {(0.5, -0.4, 1.1, 1.3)}.

Use the Determinant Feature of a Graphing Calculator to Solve