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QUESTION 3 It is possible for two functions to have a same Laplace transform True False QUESTION 4 Which of the following statement is correct? Select all that applies A square matrix A is invertible it and only if det(A)=0 For square matrices A and B ir det(AB) = 1 then A and B must be inverses of each other. If a square matrix A has two rows that are multiples of each other, then det(A) - 0 If square matrix Ais invertible, and we swap two rows of a square matrix A to get then it is impossible to have det(A)-det(B) QUESTION 5 5 poin The number cannot be an eigenvalue of any square matrix True 6 points QUESTION 6 Click Save and Submit to save and submit. Click Save All Answers to save all ansters, Save Al Answers to search

Answer 1

Question 3 The given statement is false.. For example, take pCl) = 1 and g(t) = t. then l{pl} = 1{1} - and L{f(0) = L{t}= ... f(t) and g (t) have different Laplare transform. so statement is false. Question 5 The given statement is false. Forexample taken A=[ro ] : it has two eigen value, which are 1 1 and 8 so, by this example it is clear, the given statement is I false

question 4 » A square Matrix A is Invertible iff det a to. This is correct statement 2) For Square Matrix A and B, of det (4B) =1 . Now, det (AB) = 1. ► det (A). det (B) = 1. (1) Now, If B = At or A = Bl then the (1) Relation hold. so, this statement is correet .. ie then . A and B must be inverses to each other. 3) If a square Matrix A has two Rows that are multiples of each other. ie. then two rows of a Matziy are linearly dependent. then det (A) =0. so, this statement is Cooreet. 47 Pf A is Invertible and we swap two Rows of a square Matrix A to get B. take A-T.:] then B-108] -Now, detA=D but det B = dostante o Here det A = det B. So, by this Example the given state ment is Not correct.