問題詳情
(5 points) Defining the a1, a2,...，an being n column vectors in, R2 and let A = [a1 a2 ... an],(1)the vectors a1，a2，...， an will be linearly independent if and only if A is nonsingular. (2) the detcrminate of A is nonzero. (3) the vectors a1, a2, an will be linearly independent if and only if the null space N
(A) ={0}.(4) the rank of A plus the nullity of A equals n.(5) the rank of ATequals the rank of A.
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