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2x2 matrix solve systems.notebook
April 13, 2015
Sect 6.8: Determinants
Today we will only learn HOW to find the determinant of a matrix. As the chapter progresses, we will learn WHERE to use it. All our answers will be a single numeric value.
Denoted by |A|…not to be confused with absolute value. A determinant can only be determined in square matrices …2 x 2, 3 x 3, 4 x 4, …
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2x2 matrix solve systems.notebook
April 13, 2015
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2x2 matrix solve systems.notebook
April 13, 2015
The last problems ask you to “verify” an equation….
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2x2 matrix solve systems.notebook
April 13, 2015
Sect 6.7: The Inverse of a Matrix
Review:
Identity Element for Addition:
Additive Inverse:
Identity Element
Identity Element for Multiplication:
Multiplicative Inverse:
Identity Element
An “identity” matrix is a square matrix such that:
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2x2 matrix solve systems.notebook
April 13, 2015
An “inverse” matrix is a square matrix such that:
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2x2 matrix solve systems.notebook
April 13, 2015
Solve the system using (AUGMENTATION) the inverse method:
2x – 4y = 3
x + 3y = 1
Solve the system using (augmentation) the inverse method:
3x + 2y = ­1
4x + 5y = 1
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2x2 matrix solve systems.notebook
April 13, 2015
…by Cramer’s Rule
Homework:
Pg. 466 #3, 5, 17a
Pg. 474 #5, 9, 11, 21
Pg. 483 #33, 35
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