Matrix Representation of Linear Equations

A system of equations can be written in matrix form as:

• AX=B

• A+X=B

• X=AB

• AXB=0

Tags

CCSS.HSA.REI.C.8

In the matrix equation AX=B, the matrix A is called the:

• Variable matrix

• Coefficient matrix

• Constant matrix

• Identity matrix

Tags

CCSS.HSA.REI.C.8

Which of the following represents the variable matrix?

• Matrix of numbers multiplying the variables

• Matrix containing the constants

• Column matrix of unknowns (e.g., x, y, z)

• Matrix of solutions

Tags

CCSS.HSA.REI.C.8

In the equation 2x+3y=7, x−y=4, the constant matrix is:

• [2 3 1 -1]

• [x y]

• [7 4]

• [0 0]

Tags

CCSS.HSA.REI.C.8

The augmented matrix of a system combines which two parts?

• Coefficients and variables

• Variables and constants

• Coefficients and constants

• Constants and solutions

Tags

CCSS.HSA.REI.C.8

Which best describes the purpose of representing equations in matrix form?

• To eliminate variables

• To make the system easier to solve using matrix operations

• To increase the number of equations

• To remove constants

Tags

CCSS.HSA.REI.C.8

What is the order (dimension) of a variable matrix for three equations with three unknowns?

• 1×3

• 3×1

• 3×3

• 1×1

Tags

CCSS.HSA.REI.C.8

In AX=B, if A is a 2×2 matrix, then X and B must be:

• 1×2 matrices

• 2×1 matrices

• 2×2 matrices

• 1×1 matrices

Tags

CCSS.HSN.VM.C.8

For the system: x+y=3, 2x−y=4, the coefficient matrix is:

• [1 1 2 -1]

• [3 4]

• [x y]

• [1 2 1 -1]

Tags

CCSS.HSA.REI.C.8

When representing a system in matrix form, which statement is correct?

• Each equation becomes a row in the coefficient matrix.

• Each equation becomes a column in the variable matrix.

• Constants are written in the coefficient matrix.

• Variables are included in the constant matrix.

Tags

CCSS.HSA.REI.C.8