Matrix Representation of Linear Equations Quiz

What does the coefficient matrix (A) represent in a system of linear equations?

• The unknown variables

• The constants on the right-hand side

• The coefficients of the variables

• The solution of the system

Tags

CCSS.HSA.REI.C.8

The variable matrix (X) is always written as:

• A row vector of unknowns

• A column vector of unknowns

• A diagonal matrix of constants

• A square matrix of coefficients

Tags

CCSS.HSA.REI.C.8

In the matrix equation AX = B, the matrix B represents:

• The coefficients of the system

• The solution set

• The right-hand side constants

• The unknowns

Tags

CCSS.HSA.REI.C.8

Which of the following is the compact form of a system of linear equations?

• AB = X

• AX = B

• XB = A

• BA = X

Tags

CCSS.HSA.REI.C.8

If a system has m equations and n variables, then the size of the coefficient matrix A is:

• m × n

• n × 1

• m × 1

• 1 × n

Tags

CCSS.HSA.REI.C.8

A real-life example of using matrices to solve systems of equations is:

• Writing poetry

• Solving crossword puzzles

• Traffic flow at intersections

• Cooking recipes

Which of the following is NOT a part of the matrix equation AX = B?

• Coefficient matrix

• Variable matrix

• Constant matrix

• Determinant matrix

Tags

CCSS.HSA.REI.C.8

In the system of equations: 2x+3y=12, 4x−y=5, what is the coefficient matrix A?

• [2 3 4 -1]

• [12 5]

• [x y]

• [2 4 3 -1]

Tags

CCSS.HSA.REI.C.8

Why is representing a system of equations as a matrix useful?

• It eliminates all constants

• It makes the equations longer

• It allows efficient solving using matrix operations

• It avoids the use of variables

Tags

CCSS.HSA.REI.C.8

In the school fundraiser problem (200 tickets, $1,280 collected), what does the variable matrix X represent?

• The number of student and adult tickets

• The total cost of tickets

• The ticket prices

• The number of equations

Tags

CCSS.HSA.CED.A.3