4. The adjoint of the matrix A = 1 2 1 a. 51 b. 10 15 -2 31 C. -1 . Sone of these

Q: 2 Suppose A = is positive semi definite matrix then: a 10 O a. Jal < 20 O b. a <-v20 Oc lal < v20 O…

A: Suppose A=2αα10 is a positive semidefinite matrix then which of the following is correct.

Q: (iv). Find det(A¯1) of the following matrix: 1 3 -1 2 1

A:

Q: |8 3 | 2 7 al, where a is tity matrix, its %D

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Q: Find the elementary matrix E such that EB = A where %3D 2 3 1 2 3 1 A = 4 -3 -2 and B = -8 6 4 7 -6…

A:

Q: 30: If reflection about origin is represented by the matrix R reflect the letter %3D ro 4 4 1 1 01…

A:

Q: Find the elementary matrix E such that EB = A where %3D 5 4 1 ] 4 1 A = |4 |7 -6 1 -1 and B = |12 3…

A: EB=A multiplying with B-1 on both sidesEBB-1=AB-1E=AB-1

Q: 1) Construct the matrix A =(a;;) where 3x2 ) aj = i+j, if i = j,and Li-j, if itj %3D

A:

Q: (16) Which of the following is a symmetric matrix? (Select all correct answers) ro 1 21 O1 0 1 l2 0…

A:

Q: 1 Given the matrix A = find det(A). -4

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Q: 2 7 Which of the following is the matrix C that satisfies the equality (c" +312) 1 4 -1 3 (a) 2 -5…

A: We have to find matrix

Q: 4. Use the following matrices and find an elementary matrix E that satisfies the stated equation 13…

A:

Q: Find the elementary matrix E such that EB = A where 4 1 4 4 1 3 -1 -2 and B 18 -6 -12 %3D 5 -7 4 -7…

A:

Q: 1) Show that if D=diag(dı, d2, ..,dz) is a m-by-n matrix and k = min{m, n}, then ||D|,= max |di],…

A: The matrix norm is related to the functional analysis. For a square matrix A, its p-norm is defined…

Q: 5.1) Find the matrix A if det(A) =2 and the classical adjoint is -1 - 2 ad j(A) = - 6 1 6. 24 4.

A:

Q: 2 1 Which of the following is the matrix C that satisfies the equality (CT – 4l2) 5 3 -1 3 (a) 2 -5…

A:

Q: Find the elementary matrix E such that EB = A where 4 1 2 4 6. 1 A = 2 -3 -1 and B = -4 2 6 -8 -8 2…

A: To find E such that EB = A

Q: - 2 Determine det D, adj D and D for the matrix D = 1 2 3 - 2 -1 -2 3

A:

Q: 4. If the product D = ABC of three square matrices is invertible, then A must be invertible (so are…

A: Given that the product D=ABC of three square matrices is invertible. Also given that A must be…

Q: 7.Suppose CA = and then the matrix C is A-A 16 24 (b) 28 41 (a) (c) (d) '(e) nonė [2 4 21 AlA-T) . o

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Q: Find the elementary matrixE such that EB = A whe 4 4 1 4 4 1 3 -3 8 -6 A = -1 and B = 6 -6 -2 | 8 -6…

A:

Q: 13 To 2] Let the matrices A 3 4 and B- (7 6 Find the matrix C which satisfies A+ B-C = 0 10 3 57 b)…

A:

Q: 18. Let B be au nxn matrix and A= kB for some constant k. Then det(A) is equal to A. kta + det(B) B.…

A: Given: B be an n×n matrix  and  A =k4B  for some constant k Now to find the det(A), Assume,…

Q: 8 Given the matrix G = -4 and do =| Then do and d, are G – conjugate if di is given by

A: Conjugacy:  Let G∈ℝn×n be a symmetric and positive definite matrix. We say that the vectors x,…

Q: -14 12 Find P which diagonalizes the matrix A = m m ww ww mw - 20 17 1 1 5 P = 3 4 4, 1. O 1 2 3 5 P…

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Q: 3 1 2 Compute the adjoint matrix of A - 322 3 Select one: -1 -2 a. -7 7 9. 4. -5 3 1. 71 O b. -7 7.…

A:

Q: 1 2 Let (A-21)-1- 3 4 where / is the identity matrix,then AD Select one: a. -2 1. 3 b. 4 -2 -3 C. 0…

A: A detailed solution is given below.

Q: 1 2 Compute the adjoint matrix of A 3 2 2 2 3 Select one: a. -7 4 -5 7 -7 -5 3 -1 -2 %3D -7 -5 41 d.…

A: We have given a matrix and we have to find the adjoint of A.

Q: 4 .43 = メニX+エ Qz/ Asaume A- where I is A = and you= x 3. 2. unit Matrix Find yCA) ?

A:

Q: 4. Given B1 and B2 as the bases of R?. B, = {[).} {HE) and B2 = · Find a. The coordinates of…

A: If a vector is written as, a= c1v1+c2v2, then c1,c2 are the coordinate of that vector a. Then method…

Q: Consider the following matrix: Let D=[8, -10, -12]      [-1, 9, 7] Step 1 of 3: Determine the order…

A:

Q: 1 1 2 1 1 and B = 1 1 2 1 Let A = -1 -4 1 -2 -2 5 -4 1 -6 5 -4 1 2 4 -2 To show A ~ B, it is…

A: Given that A=11211210-1-41-21-25-4B=102012101-65-4204-2 To prove : A~B If two matrix A and B are…

Q: 15. If A=| B = 0 1 and C = |1 0 then find the matrix (Av B) 0 c

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Q: 1 1 1 A =1 1 1 1 2 1 . How many nonzero elements are there in the adjoint matrix of matrix A?

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Q: メ-E to to L-E 2-E to to to d-E put K-E =U E= d-fX

A: The solution to the given question is explained below.

Q: Find the elementary matrix E such that EB = A where 4 4 1 4 4 1 A = |4 -3 -2 and B = | 20 -15 -10 7…

A:

Q: 3. Show that for any n x n matrix A of rank r, we have ||4|| < ||4||ES VFl|4||.

A: To show that: A≤AF≤ rA  for any n×n matrix A of rank r.

Q: Find the elementary matrix E such that EC = A where 3 3 -2 1 3 3 1 A 4 -1 and C 4 -2 -1 -6 3 20 9. 8…

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Q: Find an elementary matrix E that satisfies the stated equations. 8. 1 5 8 5 8. 1 5 B = 2 -7 D -6 21…

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Q: Find the elementary matrix E such that EC = A where [5 4 A = 4 -1 -1 and C = 8 -7 1 4 4 -1 4 12 -23…

A:

Q: The matrix is defined as A=(²₁ 2¹) has characteristic equation of 2² + DA + 3, so the value of D is.…

A:

Q: Find the elementary matrix E such that EC = A where 3 3 -3 1 3 3 1 A = -1 and C = 2 -3 | 8 -7 2 23…

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Q: The matrix is defined as A= 1 has characteristic equation of 22 + DA + 3, so the value of D…

A:

Q: 1 0 21 21 4. If M = -1 3 4 and B: = 3 4 078 L5 61 Find the matrix C such that MC = B.

A: To find- If M = 102-134078 and B = 123456 Find the matrix C such that MC = B

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). (4) Given matrix A = and that h(T) = T2 – 2T – 7, find h(T).

A:

Q: 4. The adjoint of the matrix A=1 2 0 3 1 is b. -1 10 0 -15 -2 4 -1 -1 -5 -2 d. Sone of these c. -1

A: A=20-1120311 first, we need to find the minor matrix M1, 1=det2011:  2 M1, 2=det1031:  1 M=1,…

Q: 2 1 Which of the following is the matrix C that satisfies the equality (CT- 412). 5 3 (:) -1 3 (a) 2…

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Q: The Matrix A = -529 A o -6 -3 -1 4 has an ečng endalup ) == Find an ocrgonunluo tor thas oingoraalus

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Q: Find the elementary matrix E such that EC = A where %3D 4 4 A = |3 -1 and C = 3 0. -1 9 -8 19 0 4 ?…

A:

Q: 1. If A is 3x3 matrix with det(A) = 5 then det(3A) %3D O 3(5)=15 9(5)= 45 O 27(5)= 135 5(5)(5)= 125

A: