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10. Systems & Matrices
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Algebra 1 - Precalculus

10.03 Matrix equations and solving systems with matrices

Lesson
Practice

Interactive practice questions

Evaluate the determinant    $\frac{1}{3}$13​ $-15$−15   .
  $\frac{4}{5}$45​ $-6$−6  
Easy
< 1min
Evaluate the determinant    $1$1 $7$7   .
  $9$9 $5$5  
Easy
< 1min
Form an expression for the determinant of the matrix    $-5n$−5n $2n^2$2n2   .
  $-7$−7 $9n$9n  
Easy
1min
Consider the matrix $A$A$=$=
    $3$3 $4$4    
    $5$5 $7$7    
.
Easy
2min
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Outcomes

N.VM.C.6

(+) Use matrices to represent and manipulate data.

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.

A.REI.C.8

(+) Represent a system of linear equations as a single matrix equation in a vector variable.

A.REI.C.9

(+) Find the inverse of a matrix if it exists and use it to solve systems of linear equations (using technology for matrices of dimension 3 × 3 or greater).

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