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10. Systems & Matrices
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Algebra 1 - Precalculus

10.02 Matrix operations

Lesson
Practice

Interactive practice questions

    $7$7         $8$8    
If $A$A$=$=   $-7$−7     and $B$B$=$=   $2$2   , find $A+B$A+B.
    $-5$−5         $4$4    
    $\editable{}$    
$A+B$A+B$=$=   $\editable{}$    
    $\editable{}$    
Easy
< 1min
If $A$A$=$=   $-4$−4   $7$7     and $B$B$=$=   $8$8   $3$3   , find $A+B$A+B.
$-1$−1   $-5$−5 $-2$−2   $9$9
Easy
< 1min
If $A$A$=$=   $-4$−4   $-7$−7   $3$3     and $B$B$=$=   $7$7   $9$9   $6$6   , find $A+B$A+B.
$-6$−6   $2$2   $4$4 $-9$−9   $8$8   $-1$−1
Easy
< 1min
    $-5$−5 $-9$−9         $1$1 $8$8    
If $A$A$=$=   $-4$−4 $-2$−2     and $B$B$=$=   $2$2 $3$3   , find $A+B$A+B.
    $-3$−3 $-7$−7         $7$7 $5$5    
Easy
< 1min
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Outcomes

N.VM.C.6

(+) Use matrices to represent and manipulate data.

N.VM.C.7

(+) Multiply matrices by scalars to produce new matrices.

N.VM.C.8

(+) Add, subtract, and multiply matrices of appropriate dimensions.

N.VM.C.9

(+) Understand that, unlike multiplication of numbers, matrix multiplication for square matrices is not a commutative operation, but still satisfies the associative and distributive properties.

N.VM.C.10

(+) Understand that the zero and identity matrices play a role in matrix addition and multiplication similar to the role of 0 and 1 in the real numbers. The determinant of a square matrix is nonzero if and only if the matrix has a multiplicative inverse.

N.VM.C.11

(+) Multiply a vector (regarded as a matrix with one column) by a matrix of suitable dimensions to produce another vector. Work with matrices as transformations of vectors.

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