DM 2P 3. IfA K 3 l-PR Sis a singular matrix then find the value of P.

Q: (a) Find the Jacobian matrix ду əx where y -B I2 I3 3+11 2+2r2 and x = 1+373

A: (a) Given y=3+x12+2x21+3x3 and x=x1x2x3   To Find: The Jacobian Matrix ∂y∂x

Q: t3 0 27. Given the following matrix A=3 for which t is A positive definite? 0 4t

A: Given,         A=t303t404t is positive definite.

Q: Q2: (a) For given matrix A, find a 3 x 3 non-singular matrix P such that p-1AP is diagonal. A = |-3…

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Q: (1). Find an elementary matrix E so that B = EA where %3D [1 0 B= |0 1 -5 16] 7 A=0 1 L-2 0 2 -5

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Q: 1 2 3 If A = 0 4 5 determine the matrix C of the cofactors of A. 10 6

A: We need to determine the cofactor matric C of given matrix A. We will find the cofactor associated…

Q: 2 . B = 6 : J.c = ( 1. and V = |1. What is the sum of the entries of the [1 Let A %3D 4 5 matrix…

A: We want to find sum of entries of given expression

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

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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: 14. For what value(s) of k ER is the matrix 1 1 3 -1 k singular? (Hint: is A row-reducible to I?)…

A: Given matrix is A=11−12103−1k. We have to find the value of k for which matrix is singular. First of…

Q: The matrix a 9. U = 0 d must 0 f have linearly dependent 0. columns if f = 0 b = c= 0 e = 0 %3D a =…

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Q: Q.4\ Find the channel capacity and redundancy for the channel having transition prob. p(y/x),…

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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: IH A is m xn matrix has rank of 5 and the dimension of N(AT) is 2 and dimension of N(A) is 4 then O…

A: From properties of rank of a matrix, it's rank added with dimension of null space is equal to…

Q: 1 1 1 Suppose that A = LU = 1 2 2 then the matrix L is equal 1 2 3 to:

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Q: |1 0 2 2 1 0 Find the singular values of the matrix A

A: Given matrix: A=102210To find; Singular values of the matrix A.

Q: 2 -5 det(X) =3 ve d X- 3d +10c = 2 Find the 2x2 w m m w matrix X that satisfies these conditions. w…

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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: 4s – r – 5t - (2r + 5s + 3t) 4t – (4r + 4s) 5s – 3r + 3t with r, s and t real. Find a matrix A such…

A: Let's find.

Q: Reduce the quadratic ferm 34*+5y+32²- Caronical form matrix of t rans 2 2 + 2z x to the and 8pecity…

A: Our main interest lies in finding a suitable orthogonal transformation X=PX' which will reduce the…

Q: O Consider fhe matrix-valved fuctious ACx) = X2 x 3x B(X)=|x-1 2x Vx eR a) Evaluate and simplrhy the…

A: We have Ax=1x2x3x, Bx=x-12xx21 Part(a) Since, Ax=1x2x3x, therefore, replacing x by 2x+1 we get:…

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: 2 2 1 2 5 2 1 2 2 dt 2 (3) 1 + 6t°e + 7t°e? -1 -1 + 8t'et 1 Hint: The characteristic polymomial of…

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Q: [2х 81 2) For what values of (x) does the matrix : 1 a)singular b) non-singular

A: Given matrix is  A=2x81x Now,  A=2x81x=2x2-8=2x2-4 So, A is singular when A=0 which occurs when x2-4…

Q: 4 Given matrix A = 1, find x such that the matrix is singular. a. 0 с. 3 b. 2 d. 6

A: A matrix is said to be singular, if it's determinant is zero.

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: 16. Write out the solution (x, y, z) for the given augmented matrix. If it does not exist explain…

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Q: H.W/(1) Solve the sys. of Linear equations using 1- Grammer's rule. 2- Inverse Matrix Method -x + 2y…

A: Since you have posted multiple questions, I will solve first one for you. If you want solution of…

Q: Q: Find I 3 (adj cA)"+ A) where A matrix of size 4x4 such that IAI=3 is a that sotis

A: By using some basic properties of matrix we can solve it

Q: For what value(s) of k is the matrix not invertible? Blank 1 Blank 1 Add your answer kk 07 k² 2 k 0…

A: Value of k for which matrix is not invertible

Q: The initial value value problem - 5 -4 -1 X (0) =!, y co) interval With to be the is solved back…

A: The given matrix is  dxdtdydt=-5-432xy x'(t)=-5x-4y      ,         y'(t)=3x+2y x(t)=(-5x-4y)t   ,…

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

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Q: a be 0 demust have linearly dependent columns if 0 0 f The matrix U = 6-e-0 De-0 Submit u h ndfmpt

A: Note: As per our guidelines we are allowed to solve one question at a time. Kindly repost the…

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: Q8. Find an invertible matrix S so that B = S-AS where () 1 A = B = 3 4 -1 -2 -3

A: Here B  =    3 4     -2 -3   Find eigenvalues of the matrix B|B-λI|=0    (3-λ)…

Q: 2 0 and Y = (1 1 - Find the matrix z7 where Y = X-z X = 0 1 0 0 -2 I 1)=,

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Q: 1 1 Given that y -1 is the cofactor matrix of E = 0 w -1 1 2 -1 Find the values of a, y, z, and w.…

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Q: Q # 1: To study the changes in boundary temperatures on a steel plate, lets assume that T. T2, T3,…

A: Given: At each interior point Tk is the e=average of the temperature at foru closest points (a) At…

Q: Ex.2 Consider ƒ € C²(R²) and Po a stationary point for f. Let H,(Po) = (27¹1) be the Hessian matrix…

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Q: 3. Local pollution levels are determined by p(x;y) : R? –→ R', where r is the number of…

A: As per Bartleby guidelines for more than one questions asked only first should be answered. Please…

Q: 7. Which option represents the equations below written in the form AX = B? 3x +4y- 2z = 4 x+5y + z=3…

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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: L: B) we can constrack 3x3 matrix A such thab A has no zero intries and U=T. Trae or Palse QL8C) if…

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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: 1 1 0 1 Let A = and ,B= 2 1] |1 0 Find the matrix X for which it satisfies the equation A=BX 2 1]

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

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Q: Find the value of k that makes the matrix singular.   4k + 1 3   −9 1 k =

A: Given query is to find the value of k.

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: г1 2 31 [01 l4 5 and V = |1]. What is the sum of the entries of the C = matrix V" (AT – (A – B)")C ?…

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Q: 1 1. Find numbers x, y and z such that the matrix A= 0 0 0 1 0 4 -2 A?+ satisfies 1 4 = 13 0.

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