Question 1

Calculate $| \mathbf { A } |$
-$$A = \left| \begin{array} { r r r } 
- 2 & - 2 & 3 \
5 & 3 & - 5 \
- 4 & 5 & 5
\end{array} \right|$$

Accepted Answer

A) -41 
B) 121 
C) -31 
D) 41 
A) -41 
B) 121 
C) -31 
D) 41

Question 2

Solve the linear system using an inverse matrix.
-$$\begin{array} { c } 
x + 2 y + 3 z = 1 \
x + y + z = - 4 \
2 x + 2 y + z = - 6
\end{array}$$

Accepted Answer

A)  $( - 5,12 , - 1 )$ 
B)  $( 4,8 , - 6 )$ 
C)  $( - 21 , - 31 , - 14 )$ 
D)  $( - 11,9 , - 2 )$ 
A)  $( - 5,12 , - 1 )$ 
B)  $( 4,8 , - 6 )$ 
C)  $( - 21 , - 31 , - 14 )$ 
D)  $( - 11,9 , - 2 )$

Question 3

Determine the size of matrix A and tell whether it is a square matrix, row matrix, column matrix, or none of these.
-$$\mathrm { A } = [ 8 ]$$

Accepted Answer

A) 0 × 0; none of these 
B) 1 × 1; square matrix 
C) 1; none of these 
D) 0; square matrix 
A) 0 × 0; none of these 
B) 1 × 1; square matrix 
C) 1; none of these 
D) 0; square matrix

Calculate $| \mathbf { A } |$ - $A = \left| \begin{array} { r r r } - 2 & - 2 & 3 \\5 & 3 & - 5 \\- 4 & 5 & 5\end{array} \right|$

Solve the linear system using an inverse matrix. - x+2y+3z=1 x+y+z=-4 2x+2y+z=-6

Determine the size of matrix A and tell whether it is a square matrix, row matrix, column matrix, or none of these. - $\mathrm { A } = [ 8 ]$

Equations, Inequalities, and Applications

The Rectangular Coordinate System, Lines, and Circles

Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions and Equations

Conic Sections

Systems of Equations and Inequalities

Sequences and Series; Counting and Probability

Math Exercises: Sets, Intervals, Absolute Value, and Properties

Filters

Exam 8: Matrices

Calculate ∣A∣| \mathbf { A } |∣A∣ - A=∣−2−2353−5−455∣A = \left| \begin{array} { r r r } - 2 & - 2 & 3 \\5 & 3 & - 5 \\- 4 & 5 & 5\end{array} \right|A=​−25−4​−235​3−55​​