algebra homework 5
Que stion 1
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Perform the indicated matrix operations.
Let A = and B = . Find 3A + 4B.
Qu estio n 2
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Perform the indicated matrix operations.
Let A = and B = . Find 4A + B.
Qu estio n 3
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Find the inverse of the matrix.
No inverse
Qu estio n 3
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Find the inverse of the matrix.
No inverse
Qu estio n 4
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Solve the system of equations.
inconsistent (no solution) x = 4, y = 0, z = 5 x = 4, y = 5, z = 0 x = 0, y = 5, z = 4
Qu estio n 5
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Solve the system.
inconsistent (no solution) y = -4x + 7, where x is any real number x = -4y + 7, where y is any real number y = 4x + 7, where x is any real number
Qu estio n 6
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Use Cramer's rule to solve the linear system.
x = 6, y = 0, z = 8 x = 5, y = -2, z = -8 x = 5, y = 2, z = 8 x = 2, y = 8, z = 2
Qu estio n 7
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Find the maximum or minimum value of the objective function, subject to the constraints graphed in this feasible region.
z = x + 6y + 9 Find minimum.
Minimum 25 Minimum 31 No Minimum Minimum 41
Qu estio n 7
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Find the maximum or minimum value of the objective function, subject to the constraints graphed in this feasible region.
z = x + 6y + 9 Find minimum.
Minimum 25 Minimum 31 No Minimum Minimum 41
Qu estio n 8
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Find the value of the determinant.
-58 42 390 -42
Qu estio n 9
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Solve the system of equations.
x = 0, y = 3, z = 0 inconsistent (no solution) x = 0, y = 0, z = 3 x = 2, y = 3, z = 0
Qu estio n 9
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Solve the system of equations.
x = 0, y = 3, z = 0 inconsistent (no solution) x = 0, y = 0, z = 3 x = 2, y = 3, z = 0
Que stion 10
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Perform the indicated operations and simplify.
Let A = , B = , and C = . Find AB + BC.
Que stion 11
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Solve the problem.
Rob bought 2 pairs of shorts, 3 shirts and a pair of shoes for $146.64. Jessie bought 3 pairs of shorts, 5 shirts and 2 pairs of shoes for $256.35. Allen bought a pair of shorts and 4 shirts for $104.07. What is the price of a pair of shorts? Express answer rounded to two decimal places.
$14.55 $50.40 $22.38 $10.30
Que stion 11
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Solve the problem.
Rob bought 2 pairs of shorts, 3 shirts and a pair of shoes for $146.64. Jessie bought 3 pairs of shorts, 5 shirts and 2 pairs of shoes for $256.35. Allen bought a pair of shorts and 4 shirts for $104.07. What is the price of a pair of shorts? Express answer rounded to two decimal places.
$14.55 $50.40 $22.38 $10.30
Que stion 12
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Write the partial fraction decomposition of the rational expression.
+
+
+
+
Que stion 13
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Solve the problem.
Given that = 3, find the value of the determinant
.
0 -9 6 9
Que stion 14
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Write the partial fraction decomposition of the rational expression.
- -
- +
+ -
+ +
Que stion 14
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Write the partial fraction decomposition of the rational expression.
- -
- +
+ -
+ +
Que stion 15
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Write the partial fraction decomposition of the rational expression.
+
+
+ +
+ +
Que stion 16
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Graph the inequality.
x + y < -2
Que stion 16
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Graph the inequality.
x + y < -2
Que stion 17
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Perform the matrix multiplication.
Que stion 17
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Perform the matrix multiplication.
Que stion 18
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Solve the system using the inverse method.
x = 5, y = -2, z = 2 x = -5, y = -2, z = -2 x = 5, y = 2, z = -2 x = 2, y = 5, z = 2
Que stion 19
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Solve the system.
dependent (many solutions) (2, 4) (2, 3) inconsistent (no solution)
Que stion 19
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Solve the system.
dependent (many solutions) (2, 4) (2, 3) inconsistent (no solution)
Que stion 20
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Perform the indicated operation, whenever possible.
+