# Week7 - A1 We use cofactor expansion along the ﬁrst row...

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Solution for Assignment 7 Applied Linear Algebra Math 232 (fall 2008) Section 3.1

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Section 3.2
Assignment 7 Applied Linear Algebra Math 232(Fall 2008) Additional question: For which values of h is the determinant of the matrix A = 1 1 1 3 h 2 9 h 2 4 zero? Explain what this says about the matrix at these values.
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Unformatted text preview: A1. We use cofactor expansion along the ﬁrst row to see det( A ) = +1(4 h-2 h 2 )-1(12-18) + 1(3 h 2-9 h ) = h 2-5 h + 6 = ( h-2)( h-3) . Notice this is zero exactly when h = 2 or h = 3. This means that the matrix is not invertible at these values. 1...
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Week7 - A1 We use cofactor expansion along the ﬁrst row...

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