Question 21 Which of the following statements is (are) true if all vectors are in R"? Oc) A matrix with orthogonal with orthogonal columns is an orthogonal matrix O b)An orthogonal matrix is invertible O Statements a and c d) It W is a subspace of R" spanned by n nonzero orthogonal vectors, then W = O Statements b, c and d O Statements a and b O Statements ab and c a) Not every linearly independent set in R" is an orthogonal set O Statements ab and d Question 22

Q: inner product / length of vector / orthogonal vectors / orthogonal components The given statement is…

A: The given statement is True. Perpendicular of R(A) is Nul(A) from the definition of inner product.

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A: Solution:-

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Q: 10) Let A E Mnxn be given by 0 0 ao ... -1 .. A = -1 0 a2 .. 0 0 0 • -1 an-1 .. Compute XA(t).

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Q: RCISE 1. Given A = 2 E , verify that (a) (A+ B) +C = A+(8 +C) (b) (A + B) – C = A+(B – C)

A: topic - matrices