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If k does not equal to zero then ka have the same rank

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Reference no: EM131025909

1. Let A = a11 a12 a13 Show that A has rank 2 if and only if one or more of
a21 a22 a23 the determinants

a11 a12 a11 a13 a12 a13
a21 a22 a21 a23 a22 a23 are non zero.

2. Use the result in Exercise 10 to show that the set of points (x, y, z) in R3 for which the matrix
x y z has rank 1 is the curve with parametric equations x = t, y = t2, z = t3
1 x y

3. Prove: If k does not equal to zero, then kA have the same rank.

Attachment:- linearalgebra5.6.zip

Reference no: EM131025909

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