sed cars () - 0 --)-0 Suppose A E M3X3. A O and A1 Which of...

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sed cars () - 0 --)-0 Suppose A E M3X3. A O and A1 Which of the following must be true? O rank(A) >1 O rank(A) = 1 O nullity(

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Answer 1

Answer #1

I've explained why rank is not fixed (is not equal to 1 always), and nullity = 2, in this fully explained handwritten solution.

a b c e t g h I 6 clll lg u I (given) Give) - a=d=g=0 (3) - [brech= o) Hence, the matrix a becomes, lo o C A o of Rank (A) mi Now, sowe the matrix, ro o a oo < 1000 X3 if we take x=t, x=s, then, X=t x 25. x2=0 Therefore, Jol spo so, I Nellity: 2

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Answer 2

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Prove that is an integer for all n > 0.

Let s = {k=1CkXAz be a simple function, where {A1, A2, ... , An} are disjoint....

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sed cars () - 0 --)-0 Suppose A E M3X3. A O and A1 Which of...

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