Week4 - 1 1 1 h-1 h h 2-1 h 2 2 h Now we take care of the...

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Solutions for Assignment 4 Applied Linear Algebra MATH 232 (Fall 2008) Section 2.1 Section 2.2

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Assignment 4 Applied Linear Algebra Math 232(Fall 2008) Additional question: For which values of h is the matrix 1 1 1 1 h h + 1 1 h 2 h 2 + 2 h + 1 invertible A1. The matrix is invertible if and only if it has a pivot in every row and column. We row reduce, ﬁrst using the pivot in the ﬁrst column.
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Unformatted text preview: 1 1 1 h-1 h h 2-1 h 2 + 2 h . Now we take care of the second column: 1 1 1 h-1 h h . Observe that we have a pivot in every column if and only if h 6 = 1 , 0. Thus the matrix is invertible whenever h 6 = 0 , 1. 1...
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Week4 - 1 1 1 h-1 h h 2-1 h 2 2 h Now we take care of the...

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