What is the C matrix in the equations below? X₁ = − 2X₁ + X₂ + u(t) - X₂ X₁-2X₂

Q: 3. (a) Solve the matrix equation for X: -1 0 1 1 2 1 1 -3 1 -1 3 1 -1

A: If Ais a m×n matrix and B is a n×p, then AB is m×p Hence here X is 2×3 Let X = abcdef Thus…

Q: Find the characteristic equation of the matrix: 4 C = 2 -2 2.

A: Characteristic equation of the matrix C is given by  det ( C - λI ) = 0

Q: Find a 2 by 2 matrix that reflects the point (x,y) abot the x axis?

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Q: If A is 4x4 matrix with det(A)=10, find det (24-¹A), det (A²).

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Q: 20. The following are rules of transposition of a matrix except: (explain) a. (A")" = A b. (A + B)"…

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Q: If A is a 3x3 matrix and det(A) = 7, what is det(2A)?

A: Solution :-  Given : A is a 3×3 matrix               And det(A) =7

Q: Diagonalize the given matrix A and hence find A². 10 -2 -5] 2 3 3 5 A = -2 -5

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Q: Show that the matrix A is positive definite A = 2 1 12

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Q: Show that the matrix equation has no solution.

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Q: Solve the system of equations using the inverse of the coefficient matrix of the equivalent matrix…

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Q: Find a matrix X that solves the equation 1 2 3 4

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Q: 1. The table shows the train route indicated by "x" between corresponding cities. Draw a graph that…

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Q: How do you find the inverse of this matrix?

A: We first find the determinant of the matrix to check if the matrix is invertible or not.

Q: Solve the matrix equation AX = B for X. A = 1 -2 -3 4 6 -1 -2 - 1 1 7 B= 6 5

A: Given: The matrix A=1-2-3-1461-1-2 and B=765. To find: Solve the matrix equation AX=B for X=???.…

Q: he transformed matrix is 0 1-2 (Simplify your answers.)

A: given matrix is :-112017-2then we have to change the first row by adding to it  -12  times the…

Q: * ( For the matrix shown find (- 3 A 3 - 1 4 1 A = %3D 1 1 6.

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Q: Re-order the equations, so that the coefficient matrix is diagonally dominant.

A: Writing Co-efficient matrix of given system of equations: [0 1 0 4 -2] [1 0 3 -1 0] [4 0 1 0 1] [2…

Q: Show that the equation of the line through points (a1, b1) and (a2, b2)can be expressed as the…

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Q: Find the size of the matrix 0.

A: Count the number of rows and columns

Q: Find the transpose of the resulting matrix: -100 A = 2 3 4 x 5 2 5-4

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Q: 4. Find the symmetric matrix, diagonal form of the quadratic form Q = 2x? + 2y2 + 2z2 - 2xy- 2xz -…

A: The objective is to find the symmetric matrix and diagonal form of the quadratic form…

Q: Consider the following function; Q(x1, x2, X3) = 2x? + 3x? – xž + 5x1x3 + x2x3 Find the matrix A…

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Q: Solve A x A T matrix: A = -2  1  -1 3   -3   2

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Q: Solve the matrix equation Ax = 0, where

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Q: pls answer within 30 minutes

A: Given that the matrix equation 2345xy=hk   This is in the form Ax=b Here A=2345 , x=xy , b=hk    .

Q: Consider the matrix: 1 2 -2 0 -1 3 4 1-1, Perform R3 - 2R2: 1 2 0 0 3 2 4 3

A: Given query is to perform the indicated matrix operation.

Q: (A" – 21) * - | ) 3. Determine the matrix A if

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Q: 3 1 Let A Solve the matrix equation -3 -1 XA - X = 2AT + I for X.

A: To solve the matrix equation XA-X=2A^T+I

Q: How to make this matrix diagonally dominant?

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Q: Solve the matrix equation for X: 1 -1 2 – 15 -3 | 0 1| 8 -5 11 i i X =

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