(a) Find the determinant of the matrix A = 1 2 1 1 2210 3 6...
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(a) Find the determinant of the matrix A = 1 2 1 1 2210 3 6 1 21 00 u V Sketch in a uv-plane the set of points for which A has no inverse. Hence, or otherwise, show that when v> A has an inverse for all values of u. (b) Consider the two quadratic forms 9(xxx) = x + x + x XX3 (xxx)x+x+x-2xx Determine directly from the definitions whether each quadratic form is (1) positive definite, (11) positive semidefinite but not positive definite, (iii) neither of these. (a) Find the determinant of the matrix A = 1 2 1 1 2210 3 6 1 21 00 u V Sketch in a uv-plane the set of points for which A has no inverse. Hence, or otherwise, show that when v> A has an inverse for all values of u. (b) Consider the two quadratic forms 9(xxx) = x + x + x XX3 (xxx)x+x+x-2xx Determine directly from the definitions whether each quadratic form is (1) positive definite, (11) positive semidefinite but not positive definite, (iii) neither of these.
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a To find the determinant of the matrix A we can use the formula for a 2x2 matrix DetA 1 10 3 6 10 18 8 The determinant of A is 8 To sketch the set of ... View the full answer
Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
Posted Date:
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