Determinants of Matrices
Presentation
•
Mathematics
•
10th - 12th Grade
•
Medium
Standards-aligned
Erin Inman
Used 105+ times
FREE Resource
6 Slides • 11 Questions
1
Determinants of Matrices
2x2 and 3x3 matrices
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Determinant of 2 x 2 Matrix
det A = ad - bc
If the determinant of a matrix is not equal to zero, then the matrix has an inverse.
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Fill in the Blanks
Find the determinant of matrix B.
Type answer...
4
Fill in the Blanks
Given the matrix, find the determinant.
Type answer...
5
Multiple Choice
Find the determinant of the matrix and determine of the matrix is invertible.
6
Multiple Choice
Find the value of x that makes the equation true.
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Solving for an unknown:
det A = ad - bc
-3x - 5 = 16
-3x = 21
x = -7
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Determinants:
Area of a Triangle
Area of Triangle is 1/2(bh). Given the vertices in the coordinate plane...
x-coordinates in 1st column
y-coordinates in 2nd column
all 1's in 3rd column
Find det of 3x3
Area should always be positive, so multiply by 1/2 accordingly
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Multiple Choice
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Fill in the Blanks
13
Fill in the Blanks
Find the area of the triangle in the figure. Use decimal if necessary.
Type answer...
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Multiple Choice
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Multiple Choice
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Fill in the Blanks
17
Fill in the Blanks
Determinants of Matrices
2x2 and 3x3 matrices
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