Topics
2. Matrices
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United States of AmericaTennessee
Algebra 2

2.03 Operations with matrices

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Given the following matrices:

$A$A =
    $9$9 $7$7    
    $8$8 $-7$−7    
and $B$B=
    $4$4 $8$8    
    $-4$−4 $5$5    
 

Simplify $A+B$A+B:

$A+B$A+B $=$=
    $9$9 $7$7    
    $8$8 $-7$−7    
$+$+
    $4$4 $8$8    
    $-4$−4 $5$5    
  $=$= 
    $\editable{}$ $\editable{}$    
    $\editable{}$ $\editable{}$    
   
Easy
< 1min

Consider the following matrices:

$A$A =
    $7$7 $1$1 $3$3    
    $6$6 $1$1 $4$4    
    $3$3 $5$5 $9$9    
and $B$B=
    $2$2 $6$6 $7$7    
    $5$5 $9$9 $5$5    
    $1$1 $8$8 $5$5    
 
Easy
< 1min

Consider the following 2x2 matrices:

$A$A =
    $8$8 $7$7    
    $8$8 $4$4    
, $B$B=
    $1$1 $-1$−1    
    $2$2 $5$5    
and $C$C =
    $3$3 $5$5    
    $6$6 $-2$−2    
Easy
< 1min

Answer the following questions.

Easy
1min
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Outcomes

A2.N.M.A.2

Perform operations on matrices in a real-world context.*

A2.N.M.A.2.A

Multiply a matrix by a scalar to produce a new matrix.

A2.N.M.A.2.B

Add and/or subtract matrices by hand and using technology.

A2.N.M.A.2.C

Multiply matrices of appropriate dimensions, by hand in simple cases and using technology for more complicated cases.

A2.N.M.A.2.D

Describe the roles that zero matrices and identity matrices play in matrix addition and multiplication, recognizing that they are similar to the roles of 0 and 1 in the real number system.

A2.MP1

Make sense of problems and persevere in solving them.

A2.MP6

Attend to precision.

A2.MP7

Look for and make use of structure.

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