Compute the determinants in Exercises 9–14 by cofactor expansions. At each step, choose a row or column that involves the least amount of computation.
Classify the quadratic forms in Exercises 9–18. Then make a
change of variable, x = Py, that transforms the quadratic form
into one with no cross-product term. Write the new quadratic
form. Construct P using the methods of Section 7.1.
11. 2x² + 10x1x2 + 2x3
Find the determinants in Exercises 5–10 by row reduction to echelon form.
just number 7
Introduction to Linear Algebra (Classic Version) (5th Edition) (Pearson Modern Classics for Advanced Mathematics Series)
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