-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 = 4 4 2. O 3. P = 4 4° 3. O 1 P 4 5. 4. О

Q: 2. Given matrix M below, sin² A sin A cos A cos² A] M = |sin? B sin B cos B cos² B Lsin² C sin C cos…

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Q: 1 1 1 1 2 5 8 0 Which of the following is the (1, 4)–cofactor of the matrix 3 4 a) -12 b) -9 c) 0 d)…

A: The (1, 4) entry is 1. We need to omit corresponding row and column

Q: [2 0 Q 3 Let C = |0 2 1 0 4 3 If C is known to be the cofactor (or the adjoint ) of a matrix A, then…

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Q: Question 2 a) Find the upper triangular matrix that satisfies |1 30 A' b) Let and 6 = 1 q 0 1 a =| P…

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Q: (a) Approximate the value of fcos (0.64 sin x) dx, using two and three points Gauss Quadrature where…

A: Note:  Hi! Thank you for your question. As there are two questions so as per our guideline we are…

Q: (b) Sölve for z in he form a+ bi where a and b are cónstants in the equation-1+i=0. Cuven the mari •…

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Q: Use Cayley-Hamilton to calculate eAt for the following matrix:

A: In this question, we need to find the matrix exponential. here we use the application of…

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

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Q: Question 8 1 23 If the matrix A= 4 0 8 , then the cofactor C21=.. %3D 350 Quection 0

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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: 1 Consider the matrix A = -1 U1 . Let B = (A – A')² and define vector v = Bu. If v = and the vector…

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Q: 0 5 8 For the matrix A= 4 52 9 4 4/ cofactor C,? A. -7 B. 12 C. -12 D. 7 Select one: O B O A OD

A: We have to solve the problem

Q: (A) IF A- [2 - 3 9 %3D - 6 B-4 and B= 2 4 3 -9 is (A.B) null matrix. ® plot the (B) polar graph…

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Q: 1.3.3 Find the triangular factors L and U of 1 1 0 0 1 1 A = 1 2 1 0 0 1 2 In this case U is the…

A: By Bartleby rules, only first question is answered Given matrix is A=1100121001210012 Let A=LU where…

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: Fór Próbléms 1–5, usé Equation (7.1.1) to ve given matrix A. 5. 1 = 10, v = c1(1, –4, 0) + c2(0, 0,…

A: The given matrix is ,  6-10-1660-4-110 To verify that λ=10 , v=c11-4,0+c20,0,1, use the result Av=λv…

Q: 18. If A is a symmetric matrix, then AT = %3D 19. Given that log,(N) = 8, then log,() = 20. If 92m-n…

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Q: 2. Given matrix M below, sin? A sin A cos A cos² A M = |sin? B sin B cos B cos² B Lsin² C sin C cos…

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Q: 2 18 The fundamental matrix e for the system Y'= AY where 4= is -2 14 [(1-61)e a) - 2te (1+6r)e"]…

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Q: 6.3 # 6 Find TG) bq using the standwd ma tria and the matrix ralative to B and 8'. ative MA T:RR°,…

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Q: Question 14 Let B = {b1, b2} and C = {C1, c2} be two bases for R, where [1 41 2 [1] C2 = 8 b1 3 b2 >…

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Q: -0.0875 0.5670 Given the skew-symmetric matrix K = 0.0875 -0.8190 and angle value 0 = 20°: -0.5670…

A: Given skew-symmetric matrix , K=0-0.08750.56700.08750-0.8190-0.56700.81900     and angle value θ=20°…

Q: Question 4 An irrigation system is being laid down to connect 7 fields. The cost of the pipelines…

A: Given: The below matrix is given. To find: A set of pipeline through which all the fields can be…

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)…

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Q: QUESTION 6 For which value(s) of a will the matrix O 2a A = a+2 1 be orthogonally diagonalizable?…

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Q: -2 1 6. (S.10). To show that the matrix A = -1 1 satisfies its char- -3 2 acteristic equation (the…

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

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Q: 2 R first rotates points through -3t/4 radians (since the number is negative, the actual rotation is…

A: The reflection about x1-axis means, T((0,1))=(0,-1).

Q: Suppose A-(5 =B+c Where Bis symmetric and Cis skew-symmebrie matrices, Be (b biz E ) fm the elemente…

A: Given: B is Symmetric and C is skew symmetric

Q: 1.3.3 Find the triangular factors L and U of 1 0 0 2 1 1 A = 1 1 1 2 In this case U is the same as…

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Q: (a) What is the 2 x 2 matrix M that reflects v = ( 7 ) to ( ² ) ? y for M-1 makes sense…

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Q: is det(A+B) the same as det(A)+det(B)? what is matrix of cofactors from A? the adjoint of A?

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Q: QUESTION 3 For what value of k (upto one decimal place), the vectors u= (9,-9), v=(7,k) are linearly…

A: 4.we have apply operation of given matrix 3. For what value u and v us linearly dependent If…

Q: -2 3 B= 2 4 3 14 3 given A= 2 -1 -2 .3 2 4 -3 -2 2 Find the following D=(ATB ) T Minors of D labeled…

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Q: (i) By applying the Kirchhoff's law to a circuit we obtain following equations 7i, + 9iz = 3 5i, +…

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Q: Question 3 s): Let -1 A = 3 -9-18 7 (a) -, Find the cofactors: A1, A21, and A31 (b) ( - Find det(A)…

A: We have to find the cofactors and det(A).

Q: Give matrix A = (2  -1)                           (3     5).  and that h(T) =  and that h(T) =T² -…

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Q: Q2) Find the reflection of v = [2-5 0] in the line with equation [x y z = t[1 1 - 3]". 4 ab ac P has…

A: Projection of vector on any line implies the component of vector about that line.  Projection of…

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

A: To state whether or not the given matrix is a) upper triangular b) lower triangular c) diagonal d)…

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: Question 5. Given the tridiagonal matrix 1.58 0.6004 0. 0.91 1.9458 1.296 0.11 1.5491 0.8614 0. 0.93…

A: Step:-1 Given that  A=1.58   0.6004000.91   1.9458   1.29600    0.11    1.5491   0.861400   0.93…

Q: -5 Let M = 5 . Find cj and c2 such that 3 M² + c, M + c2I, = 0, where I2 is the identity 2 ×2…

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Q: 4 Find the spectrum of the matrix A 1 -1 Enter the answers in descending 1(A) = { Ex: 5 3 } order.

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Q: Suppose that T (H) = |2 = 3 and T [2] (H) Find the standard matrix A for T and find T | [1 1] [2] A…

A: Transformation.

Q: 1 1 3 1 5 1 to the diagona .Find a matrix P which transforms the matrix A = 3 1 1 prm. Hence…

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Q: 7. For the Lorentz matrix P = use a? – 32 = 1 and v = B/a to verify that a = 1/vi – v² and 3 = v//1–…

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Q: Let -6 1 -2 4 1 3 0 3 5 -1 т -2 L4 0 1 -1- Find the value of m, if C41 = -12, where Cj is the…

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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;…