Write the given linear system without the use of matrices. Assume X = dx dt dy 11 *-(-²)*+(-¹)- X X' = -1 - ().)

Q: 1. Given the function h(x) = (3x-6)/(2x -4) find h^-1(x)

A: Since you have posted a multiple question according to guildlines I will solve first(1)question for…

Q: Identify the matrix that represents each linear transformation below. Write A, B, C, D, D or F. ^ -…

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Q: The matrix for a one-to-one linear transformation from \R^4 to \R^3

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Q: Find f(B)

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Q: x – 5y – z = 1 y – z = 2 x – 5z =1 1. Write the system above in Ax=b form using matrices and find…

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Q: Let D = Find A6. A6 [1 2] and P = C 1 – 3 0 9] and consider the matrix A = PDP-1

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Q: Suppose A is a non-singular matrix. Using properties of the determinant, show that det(A^−1) =…

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Q: For matrix (0 -1 0, 1 0 0, 0 0 1), show that [adj(A)}^-1 = (1 / det(A))*A = adj (A^-1)

A: The objective of the question is to prove the identity adj(A)^-1 = (1 / det(A))*A = adj (A^-1) for…

Q: 2. Describe the geometry of the linear transformation represented by each matrix. Explain. 3 0 a. ^=…

A: Follow the steps.

Q: multiplication öf twó matrices A= 5 6], B=[2 5 6]

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Q: 3. Consider the linear system 2x1 + 4x2 -12, 4x1 + 5x2 = 24. = (a) Using the formula for the inverse…

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Q: How matrix notation helps in simplification of computations with systems of differential equations?

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Q: Find the matrix A of the linear transformation from R² to R³ given by 1 0 -8 x2. -4 x1 + 2 -6 T…

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Q: 7. - B-[73] Solve for X in the matrix equation: B-4X = A 6

A: Given:  A=1-6510B=-237-1 to solve for X in the matrix equation: B-4X=A

Q: Write a'= -3x+y+ln(t), y'= t'a in matrix form as 18 31 and f(t) is 181 [*] -= P(1) [*] + f(t) where…

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Q: Find 3 x 3 upper triangular matrix with determinant 1.

A: 3×3 upper triangular matrix

Q: 4. y= cje²*+c2xe²*

A: Please see the below picture for detailed solution.

Q: Solve the matrix equation AX = B, where -1 하 A: 1 and B 1 1 [6] 0 1 =

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Q: t A be the square matrix (abcd) A. If ad−bc = 1, then show that A^−1 =(d−b−ca ) B. If ad−bc=α, then…

A: If  is a square matrix then its inverse is where

Q: 1 2 3 1[1 1 07 M = 20 0 1 3|1 0 0

A: Write the relation M as a set of ordered pairs. If x,y is an ordered pair in M , then (y,x) is and…

Q: Given the matrix      A=       [4 -1   0   2] , then the trace of A^3 is?

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Q: solve for x and y in the matrix A= [ x -4 3 y] if A^2 = [52 -36  27  -11] x = y =

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Q: In systems of equation, equations are linearly dependent if A(-2) must exists A(-3) does not exists…

A: In system of equation, equations are linearly dependent

Q: 2 -2 eydo عام 2 + +2

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Q: Find x such that the matrix is singular. ^-[34] A = -6 -4 X =

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Q: why no matrix exists for one-to-one linear transformation from R^4 to R^3

A: Given: We have to prove no matrix exists for one-to-one linear transformation from R4 to R3.

Q: Determine if (3, -1, 4) is a linear combination of (1, -1, 0), (0, 1, 1) and (3, -5, -2)

A: A linear combination is very significant in linear algebra. When some given vectors are multiplied…

Q: Given A = 1 1 0 3 Compute 5A *Matrix

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Q: x- 5y – z = 1 y -z=2 - 5z =1 1. Write the system above in Ax=b form using matrices and find the…

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Q: if A is a 3x3 matrix and det(3A^-1)=9, then det(A) is

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Q: find linear systems (matrix) x'(t) =[ 11 - 15 6 - 7 ] x(t) classify its origin

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Q: Given F(x) = 4₁ 21 -2x1 3 4x2 3 2x1²x24 2x15x2 calculate the matrix Jp ([^])

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Q: Use the matrix methods to find the general solution of each of the follow- ing homogeneous…

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Q: Use determinant to find the equation of the line that passes through the points (4, ― 3) & ( ―1,2)

A: We have to find equation of line using given information Concept required: Equation of line passing…

Q: 5. y= e²^(c,cosx+c,sinx)

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Q: Take the system æ' = 10x? + 10y2 + 9xy, y' = e10x + 10y?. The Jacobian matrix is help (formulas)…

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Q: Which set of functions which is not linearly independent is  A-X^2,4x^3 B-2x,6x+3,3x+2 C-e^x,e^2x…

A: A set of functions will be linearly independent if there Wronskian is not equal to zero. Wronskian…

Q: Given the matrix ? [2 4] [0 -5] find A^3

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Q: solve a 2x2 matrix where A = [1 -2…

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Q: Find e^t where A is the matrix A - -4 1 -1 -2 eAt +

A: Given that A=−41−1−2