Suppose x E Rand let A 11 x 1 x x x x x (a) Compute det A as a function of x. How does the rank of A depend on x? (b) Compute A- (supposing x is such that det A + 0).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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Suppose x e R and let A =
1 1 x
1 x x
x x x.
(a) Compute det A as a function of x. How does the rank of A depend on x?
(b) Compute A-1 (supposing x is such that det A 0).
Transcribed Image Text:Suppose x e R and let A = 1 1 x 1 x x x x x. (a) Compute det A as a function of x. How does the rank of A depend on x? (b) Compute A-1 (supposing x is such that det A 0).
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