Determine whether the following statements are true or false. Be sure to give a brief justification for youranswers.(a) Suppose that A is a 7 x5 column matrix [ũ1 |... Jūs]. If the equation AX = 0 has a unique solution,then the span{ū,, üz, ūz, ūs, ūz} is a 5 dimensional subspace of R7.(b) Any set of 3 vectors in R³ can be extended to form a basis for R.(c) For any invertible n × n matrix B, the det(adj(B)) = (det(B))"¯!.

Answered: Image /qna-images/answer/d2b9681a-43a5-4164-901d-2816772b6cdd.jpg

Answered: x [ũi |….. Jūs]. If the equation AX = 0…

x [ũi |….. Jūs]. If the equation AX = 0 5 dimensional subspace of R7. nded to form a basis for R5. det(adj(B)) = (det(B))"-'.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Determine whether the following statements are true or false. Be sure to give a brief justification for your
answers.
(a) Suppose that A is a 7 x5 column matrix [ũ1 |... Jūs]. If the equation AX = 0 has a unique solution,
then the span{ū,, üz, ūz, ūs, ūz} is a 5 dimensional subspace of R7.
(b) Any set of 3 vectors in R³ can be extended to form a basis for R.
(c) For any invertible n × n matrix B, the det(adj(B)) = (det(B))"¯!.

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