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1. Find x and z in the following system of equations using Cramer's metho x+y z = 6 3x-2y+z = −5 x + 3y-2z = 14 2. Find the area of triangle with vertices (1, 1), (2, 2), and (5, −1). 3. If A3×3 and B3×3 where det(A) = −2, det(B) = 3, find (a) det(AB-¹) (b) det(A²BT) (c) det(A-¹B³)

1. Find x and z in the following system of equations using Cramer's metho x+y z = 6 3x-2y+z = −5 x + 3y-2z = 14 2. Find the area of triangle with vertices (1, 1), (2, 2), and (5, −1). 3. If A3×3 and B3×3 where det(A) = −2, det(B) = 3, find (a) det(AB-¹) (b) det(A²BT) (c) det(A-¹B³)

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.5: Determinants
Problem 57E
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1. Find x and z in the following system of equations using Cramer's metho x+y z = 6 3x-2y+z = −5 x + 3y-2z = 14 2. Find the area of triangle with vertices (1, 1), (2, 2), and (5, −1). 3. If A3×3 and B3×3 where det(A) = −2, det(B) = 3, find (a) det(AB-¹) (b) det(A²BT) (c) det(A-¹B³)
Transcribed Image Text:1. Find x and z in the following system of equations using Cramer's metho x+y z = 6 3x-2y+z = −5 x + 3y-2z = 14 2. Find the area of triangle with vertices (1, 1), (2, 2), and (5, −1). 3. If A3×3 and B3×3 where det(A) = −2, det(B) = 3, find (a) det(AB-¹) (b) det(A²BT) (c) det(A-¹B³)
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