System of Linear Equations Using Matrix

State the dimensions of the augmented matrix for the system.

• 2 x 3

• 3 x 2

• 3 x 4

• 4 x 3

Solve the system.

• No Solution

• Infinitely Many Solutions

• (2, -1, 5)

• (3, -2, 1)

A matrix derived from a system of linear equations is the _____ _____ of the system.

• augmented matrix

• constant matrix

• linear matrix

• coefficient matrix

State the dimensions of the augmented matrix for the system.

• 2 x 3

• 3 x 2

• 3 x 4

• 4 x 3

Solve the system.

• No Solution

• Infinitely Many Solutions

• (2, -1, 5)

• (3, -2, 1)

Solve the system.

• No Solution

• Infinitely Many Solutions

• (2, -1, 5)

• (3, -2, 1)

Solve the system.

• No Solution

• Infinitely Many Solutions

• (2, -1, 5)

• (3, -2, 1)

Before you write an augmented matrix, make sure each equation in the system is written in _____ _____ .

• standard form

• random order

• decreasing order

• original form

When solving a system AX=B using inverse matrices, you use the equation:

• X=A^-1B

• B=X^-1A

• A=X^-1B

• X=B^-1A

Write the augmented matrix for the system of linear equations.

2w – 3x + 4z = –12

–3w + 6y – 9z = 7

–x + 4y – 5z = 2

w + 6x + 4y = –9

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