Find a general solution of the system x'(t) = Ax(t) for the given matrix A. 6-6 - 6 6 4 4-6 -4 A = - 1 x(t) (Use parentheses to clearly denote the argument of each function.) =

Q: c1x1(a) + c2x2(a)+ . . . +cnxn(a) = x(a). Let X (t) be the n x n matrix with column vectors x1, x2,…

A: Given : Xt be any  matrix of n×n           : c be column with component c1 ,c2 , . . .  . . .  ,cn…

Q: The vector (0, -2, -2) is a solution of the linear system: X1 + 3x2 – 3x3 = 3 5x1 + 13x2 – 13x3 = 13…

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Q: First question: Find the inverse and determinate of the matrix A = [??H] -1-3 1 3 60 1 0 1 ||

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Q: can you help me with this problem, I really need help with this problem but it has to be done in the…

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Q: Solve the system of linear equations using INVERSE MATRIX МЕТHOD. x + y + z = 4 2x – 3y + z = 2 -x +…

A: By using inverse of matrix we can solve for x y and z

Q: Q2. For the matrix, A = (a) Find 2 Tr (2 A). (b) If A = 21 8 7 4 6 7 5 4 find (A)-².

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Q: -1 -1 | | 4. For the semidefinite matrix A = -1 2 -1 write x' Ax as a -1 -1 sum of two squares.

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Q: What is the determinant of the matrix O O O 4 32 1 2 -1 3 1 2 2 3 2 -1 -1 1 2 -1 2 ?

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Q: a) Use the inverse of a matrix to solve the linear system: X1 - X2 - X3 = 5 X2 + x3 = -1 . (x1-2x2 -…

A: Dear student you have asked multiple questions. As per our policy your first question will be…

Q: 9. A = -2 2

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Q: Jse Use the following set of equations to solve questions (7,8, :9, 10, 11, 12) based on Gauss…

A: Given : 2x1+x2-x3=23x1-2x2+x3=1x1-2x2+2x3=-1` The above system of equations can be written in matrix…

Q: Solve explicitly the system of linear equations  2u+v+2x+y+3z=0 5u+3v-4x+3y-6z=0 u+v-8x+y-12z=0…

A: Given linear system is homogenous kind. Homogenous system ids always consistent, either it can have…

Q: Consider the matrix equation over the set of real numbers given by ³22169-13 20] 2 [²3 3b -b+2c] (a)…

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Q: Consider the following system of linear equations for four real variables x1, x2, X3, X4: x2 + x3 –…

A: x2+x3-2x4=-3x1+2x2-x3=22x1+4x2+x3-3x4=-2x1-4x2-7x3-x4=-1011-212-10241-31-4-7-1x1x2x3x4=-32-2-19Let…

Q: Compute the quadratic form x¹Ax for the given matrix A and vector x. [59 0] A = 91 4, X = X2 04-2 x3…

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Q: Write the system as a vector equation or matrix equation as indicated. Write the following system as…

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Q: (x1 - 2x2- X3 = 2 a3 = -4, Findb3 2a1 2a2 2a3 bị a a1 a2 az b2 a2 %3D et b b2 b3 IC3 + 3b3 C2+3b2 C…

A: Given, a1b1c1a2b2c2a3b3c3=-4 We have to find  2a32a22a1b3-a3b2-a2b1-a1c3+3b3c2+3b2c1+3b1

Q: Let matrix A = 1 1 1 3 2 1 −2 3 1 (a)Find two distinct row echelon forms of A. (b) Find the…

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Q: For each of the following, factor the matrix A into a product QDQ' where Q is orthogonal and D is…

A: A is symmetric matrix ,then A is orthogonally diagonalizable, and Q is the orthogonal matrix, the…

Q: Mudassir Hussain, a PhD scholar at National University of Austria, need to make phone calls within…

A: Given that call rates are as  x1 represents the rate for calls within Canada x2 represents the rate…

Q: 3. Let A=1 -1 4 -3 7 and B= 6 -24 -6 18 Find the matrix X that satisfies the matrix equation…

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Q: Consider the following system of linear equations for four real variables x1, x2, x3, X4: X2 + x3 –…

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Q: M = Find the determinant of the matrix -32x³ 8+2x² + 4x³ -x³ 1 + x² + 2x³ -2 +6x² 4 - 12x² 0 -2-3x²…

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Q: For R1: y=2x2-3x-5, R2: y=x2-x-2,

A: answer is in next step

Q: For matrix A = (4 6 3 5 ). If f(x) = x2 - 5, calculate f(A)?

A: The given matrix is, A=4635. The function is f(x)=x2-5. For matrix multiplication: The number of…

Q: Using the matrices method (Kramer) solve the following linear equations *+2y+3z = -1 2x+5y+7: =-2…

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Q: sider the matrix 1-2 2 -5 -3 0 2 A = 77-7 -000+ 3 ,caw -1 4 -7 e the solution to Ax = (204 - 2)² as…

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