Exercises for Question Type 8: Using the inverse matrix, if it exists, to solve for a system of linear equations

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Exercises for Question Type 8: Using the inverse matrix, if it exists, to solve for a system of linear equations - IB

Question 1

Solve the system using the inverse matrix method: 4 - 2 1 13 - 1 124 x y z = 510

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Question 2

Solve the system using the inverse matrix method: 12 - 1 2 - 1 4 - 1 32 x y z = 6 - 3 5

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Question 3

Solve the system with fractional coefficients using the inverse matrix method:

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Question 4

Solve the system using the inverse matrix method: (35 2 - 4) (x y) = (7 - 1)

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Question 5

Solve the system using the inverse matrix method: (23 1 - 1) (x y) = (54)

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Question 6

Solve systems of linear equations using the inverse matrix method.

Solve the system of linear equations using the inverse matrix method: 213 1 - 1 4 31 - 1 x y z = 1447

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Question 7

Solve the system using the inverse matrix method: 342121213 x y z = 5109

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Question 8

Solve the system using the inverse matrix method: 123 3 - 1 2 21 - 1 x y z = 916

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Question 9

Solve the system using the inverse matrix method: 123 2 - 1 1 31 - 2 x y z = 622

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Question 10

Solve the system using the inverse matrix method: (1213) (x y) = (14)

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Question 11

Solve the system using the inverse matrix method: 123 2 - 1 1 11 - 2 x y z = 1431

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Question 12

A system of three linear equations is represented by the matrix equation A X = B .

Solve the system using the inverse matrix method: 315 0 - 2 1 132 x y z = 4 - 1 10

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IB Mathematics Applications & Interpretation Question Type 8: Using the Inverse Matrix, If It Exists, to Solve for a System of Linear Equations Exercises