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Jonathan Fjelstrom
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Finding the inverse of a matrix.
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Pc 8.3 notes
1.
March 09, 2012 8.3 The Inverse of a Square Matrix Objective: Find and use the inverse matrix to solve systems of linear equations. Standard: Linear Algebra 9.0
1
2.
March 09, 2012 What's a MULTIPLICATIVE INVERSE??
2
3.
March 09, 2012 To be an inverse matrix:
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4.
March 09, 2012 Ex. 1﴿ Show that B is the Inverse of A.
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5.
March 09, 2012 Do all matrices have an inverse? Singular: Nonsingular ﴾aka: ________﴿
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6.
March 09, 2012 Ex. 2﴿ Find the inverse of A if it exists. A=
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7.
March 09, 2012 The "Shortcut" for a 2x2 matrix If…
and… ad – bc ≠ 0 then… 7
8.
March 09, 2012 Ex. 2 Revisited﴿ Find the inverse of A if it exists. A= Ex. 3﴿ Find the inverse of A if it exists.
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9.
March 09, 2012
9
10.
March 09, 2012 Inverse of a 3x3 Matrix
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11.
March 09, 2012 Using Inverses for Systems of Equations The coefficient matrix…
` 11
12.
March 09, 2012 Ex. 4﴿ Solve the systems using matrices.
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13.
March 09, 2012 Ex. 5﴿ Solve the system using matrices.
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14.
March 09, 2012 Assignment: 8.3 p. 608 #4, 5, 11, 15, 17, 25, 27, 46, 49
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