J 0 0 j. 0 0 ... 5- The Matrix J is called Jordan if 1 ... ... a- Jk, b-jr, 1 ... 1 ... b- Jk, = 0. 1 The correct answer is (a) O The correct answer is (b) O The correct answer is (c) O 40

Q: 1 0 0 If [B|I]=| 0 1 where I is the Identity matrix then B¯1 0 0 1 OA. OB. OC. Does not exist. 1,…

A: Answer is option A)

Q: Question 2 For what value(s) of k is the matrix not invertible? Blank 1 Blank 1 Add your answer kk 0…

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Q: 5: The Hessian matrix for f(x) = x³x3 + x2x3 at the point [1 2 3] is given by: [6 [18 0 31 0 671 20…

A: Let's solve.

Q: finding the matrix of S 0 T (a) by direct substitution and (b) by matrix multiplication of [S] [T].

A: Finding the matrix of  S∘T (a) by direct substitution  (S∘T) x1x2 = STx1x2                        =…

Q: [1 47 3 Let, A = 3 be a 4x4 matrix. Find det (A) and det (2A"A). 2 L4 3 1- O 0 o 2N. O502 2.

A: Remember the property of matrix that |A|=|AT| then simply find the determinant and do the…

Q: 1. Gegeben sei die Matrix A = 0 1 (a) Ermitteln Sie A?. n (b) Zeigen Sie mit vollständiger…

A: we have to show that the following

Q: -x-1 -x 2 Let A = 1 2 (i) Determine an expression for det(A). (ii) For what values of x will the…

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Q: 2P is a singular matrix then find the value of P. D M 3. If A =| K 3 S -P R L.

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Q: (e) Find all possible values of c for which the following matrix 1 1 1 F = c 9 1 3 1 is singular.

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Q: [1 1 0 4 0 71 0 0 1 3 w 6 0 1 3 then (w +p +q) is: 0 0 q Consider the echelon matrix E = 0 0 0 0 0…

A: Given the echelon matrix is, E=1104070013w600001300000q000p00 The properties of matrix in reduced…

Q: (D-2 and T Suppose that T %3D 12. 12. Find the standard matrix A for T and find T (GD: [1 A = |3 2…

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Q: -x -1 -x (d) Let A = 2 2 1 2 (i) (ii) Determine an expression for det(A). For what values of x will…

A: Given that the matrix  d A=-x-1-xx2x211e A=2345132453414235

Q: (2 -1) (4) Given matrix A 3 and that h(T) = T2 – 2T – 7, find h(T). 5 %3D

A: we have to find h(T)

Q: I. State whether or not the given matrix is (a) upper triangular, (b) lower triangular, (c)…

A: 1. The matrix is 1000cos 2π000ln e all the elements are on the principal diagonal , therefore it is…

Q: 2)} and 0 4 A = 2 3 . be the matrix for T: R2 → R? relative to (a) Find the transition matrix P

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: 3 -9 -3 2 1 8 3 4 -2 3 5 8 6 Suppose E is an elementary matrix such that 3 -3 10 4 8 3 EA = 4 5 6.…

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Q: 2 1 -2 Suppose that a 3 × 3 matrix A has det A = 1 and that its cofactor matrix is C = 1 1 -2 -1 0…

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Q: A = [aij]nxn 0 ; i – j| = 1 ise 1; i– j| # 1 ise Which of the following is a matrix A written…

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Q: 1 2 1 Find a matrix Z such that D=Z AZ is diagonal, if A -2 1 3

A: The matrix given is as follows: A=1-21-25313-2 First, we will find the eigenvalues of the given…

Q: -1 If A= BD and 2A + B + X = 0 then the matrix X is O a. 1 - 2 10 3 Ob. 1 7 13 С. 3 2 1 d. 1 2 - 7 –…

A: ans: Given A=2-4-6-8, B=3-215⇒2A+B+X=0⇒X=-2A-B⇒X=-21234-3-215

Q: -4 Find the change-of-coordinates matrix from B to C. - 10 Let B- (b, (b.b2) and C- (c,,©2} be bases…

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Q: 1 a b a,b,c e R including A = 0 10 0 0 100 Let the matrix be given. According to this,

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Q: -1 0 Consider the matrix D=| -1 2 -1 The following is 0 -1 2 true: is non singular detD 4 1 detD 2 3…

A:

Q: (2 -1 5). and that h(T) = T2 – 2T – 7, find h(T). (4) Given matrix A =

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Q: 1 0 3 0 2 1 -4 -1 A = What is the A42 cofactor for the matrix? 33 - 3 2 4 0 0 3 -1 0 O A) -2 O B) -5…

A: 0

Q: [1 2 3 1 5 L5 6 0. Q3/: Consider the matrix A = 0 find A-1.

A: Given, A=123015560

Q: 1 0 2 2. Given the matrix. A = 2 -1 3 find A-, using the Gauss-Jordan method 4 1

A:

Q: 2 302 Find the value of a+b for which the matrix A is symmetric, where A= 3 400 0 0 1 2 |b0 a 1.0…

A: For symmetric matrix,    aij = aji     Therefore,    a = 2 b = 2

Q: -1 -x (d) Let A 2 2 1 (i) (ii) Determine an expression for det(A). For what values of x will the…

A: Since you have asked multiple questions here, we will solve the first one for you. To get the…

Q: Q.12 Го 0. Let A = |1 0 and I3 be the 3 x 3 identity matrix. Then the 1 0. nullity of 5A(I3 + A +…

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Q: Moving to another question will save this response. Question 3 Find a matrix P such that 1 0 1 0 3 2…

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Q: 0 1 ,then the matrix is 1 0 (a)positive definite (b) negative definite (c) -Tx] [j1. Q29. If A =

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Г2 3 1 1 Let A = and B= . Find the (1,1)-entry of matrix X given 1 3 5 that AX+A=B. O5 O1 2.

A: Solution: The objective is to find the (1,1)-entry of matrix X

Q: Which of the following is a product of elementary matrices for the matrix A = 1 0 T-1 01 0 a) -3 14…

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Q: 5. Let A = (, ) nd z- (). 1 and a Consider the matrix equation Ag = ka where k E R. Then the scalar…

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Q: If A is any square matrix. Then det(A) = a) det(A-1) b) det(AT) c) – det(AT) d) 0

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Q: 0 5 Let A =-2 1 2 2 0 5 0 1 1 0 -1 -4 and B = 1 . Find an 1 0 -1 elementary matrix, E such that EA =…

A: The given matrix is: A=   2  0     5-2  1  -4   1  0  -1        and       B=2  0      50  1      11…

Q: Q14. The matrix A= has A 0, then e" is [1 (a) 0 -4/ (d) 0 0 41 -41 0. (c) 4t (b) 1 (e) none 1 1

A: we have to find

Q: - 4 Let B = {b,,b2) and C = {c1,c2) be bases for R2, where b, = and c2 Find the…

A: Solution by using linear combinations of vectors

Q: 5 2 2 5 Let A= 3 -1 B = 4 7 4 3 8 Find the matrix D such that CD - AB= 0

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Q: 0 71 [1 10 4 0 0 1 3 Consider the echelon matrix E =0 0 0 0 0 0 Lo o 0 p 6. 1 3 then (w +p+q) is: ol

A: E=1104070013w600001300000q000p00 Now let p=w=0, q=1 E=110407001306000013000001000000…

Q: 1 -2 CT a b -2 ㅇ 2a b 0 0 ㅇ ccording to Gauss Matrix above, which of the following condition(s) we…

A: We have to choose the correct answer from the given option according to the given condition

Q: 0 4 9 Let A 1 2 4 What permutation matrix P will make PA 0 0 6 upper triangular? P =

A:

Q: 8. Given the matrix B = |1 1 1 1 1 1 Which of the following matrices solves X in the matrix equation…

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Q: MATRIX A Is axa T ElbENUALUES ARG -3 AルD a FWD CHE EI6EN. VALUES Fere A+3I IS

A: As we know that; If the λ1 & λ2 is eigenvalues of the matrix A then eigenvalues of the matrix;…

Q: (c) Find P-1 and A' (the matrix for T relative to B'). 1 1 p-1 = 1 1 1 1

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Q: Mon Apr 26 Adobe Scan Apr 26, 2021 (1)... Page 4 of 12 Q Q HD Find baves for th fam fundomental…

A: We have to find basis for the row space of AT. It is equivalent to column space of A.

Q: -2 a wi a 8 Consider the matrix A = Oa. a = 4 O b. a = -4 OCAERI{- 4,4} Od. A is invertible for any…

A: Given:A=-2 aa8 Where  a∈ℝA is non-invertible matrixNon -invertible:     If the determinant of the…

Q: -1 4 (1.1) Consider the matrix A = 1 What is the nullity of AT? 1 -4 -4 -8 (a) 0 (b) 1 (c) 2 (d) 3…

A: