envectors of the coefficient matrix to find the general solution. *1-2x17x2 *₂= x1 +4x2 = *1 = 2x1 *₂ = 5x2 - 7x3 *3 = 2x2 - 4x3

Q: det a det C

A:

Q: j 2 -1 + -1 -U 1 -2 +

A:

Q: E = 5 -2 -4 3 2 2 -4 -4 -4 0 -3 2 3 2 4 4 -2

A:

Q: Find the matrix of the quadratic form 2x12 + 3x22 – x32 – 4x1x2 - 2 x1X3 + 6 x2x3 2 2 -1 2 -2 1 (a)…

A: We have to find Matrix of the given Quadratic form.

Q: JAC| = 10. On segment AB point M is chosen. Point N is the point of intersection of segment AC and…

A: given lengths of ∆ABC AB=8BC=16AC=10

Q: Find the matrix of the quadratic form 2x,2 + 3x22- x3-4x1x2 + 2 x1X3 + 6x2x3 -1 2 -2 1 (a) 2 3 3 (b)…

A:

Q: x1, x2 and x3 are unknowns 0.5x1 - x2 - 5x3 = 2 2x2 - 2.5x3 = -4 -x1 + 8x2 + 2.5x3 = -16 Use…

A: Given,0.5x1 - x2 - 5x3 = 2  2x2 - 2.5x3 = -4  -x1 + 8x2 + 2.5x3 = -16Now converting given equations…

Q: Q2:- A/ Solve the linear equation by inverse of matrix X+2X,+2X=1 X+3X+X 4 X,+3X,+2X,-3

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Q: X'= 5 31 K

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Q: Solve with matrices. 5x−3y=18 and 2x+7y=−1 Indicate each matrix with the vertical bar (|) symbol…

A: Given system of equation  5x-3y=18  2x+7y=-1we solve by matrix

Q: for a matrix A 3 6 2 5 if f(x)=(x+2)(x-2), calculate f(A)

A: Given: Matrix A=3625 To Find: f(A) when f(x)=(x+2)(x-2)

Q: Use an inverse matrix to solve each system of linear equations. (a) x1 + X2 - 2x3 = X3 = X1 - X2 -…

A: To solve the system of equations using matrix inversion method

Q: 7. 2 1 -1 2 Matrix + 2 Matrix -1 3 11

A: Topic:- matrix addition

Q: Find the matrix of the quadratic form 2x1? + 3x22 – x3? – 4x1x2 + 2 x1x3 + 6x2x3 2 -1] 2 -2 1 (a) 2…

A:

Q: 2c1 + 2c2 + 2c3 =0, 2c1              - 2c3 =2,c1 -   c2 +    c3 =  6 Write in the form AC = B with 3…

A:

Q: An example of the procedure of the exponential of a matrix of 2x2 and 3x3

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Q: y "- 3y + 2y =0 0 1 O b. ***-(2,₂3). x-(2-1) --(-) 0 1 X' 3 2 21 +-(-3) X'= 0 a. O c. O d. x x

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Q: Find the augmented matrix of the linear system. 2x₁ + 3x₂x3 = 2 X1 + x3 = 0 -X₁ + 3x₂ - 2x3 = 0 2 1…

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Q: Find the sum of matrix AxB and matrix C. ((AxB)+C)

A: In this question we have to perform the following operation on the given matrices.

Q: 1 2 (24)-- = G ) (2A)-1 3 4

A: (2A)-1 = 1234taking inverse both side :((2A)-1)-1 = 1234-12A =  1234-1Let B = 12342A = B-1A = 12B-1…

Q: Iị + 2x2 + x3 = 2 Tị + 2x2 – x3 = 4 I1 - 2x2 + x3 = -2 %3D

A:

Q: Determine the cofactor of -2 in the matrix 1 0 3 7 -1 0. - -2 6 5

A:

Q: Find the matrix of the quadratic form 2x12 + 3x22 – x3² + 4x1x2 – 2 x1X3 + 6x2x3

A:

Q: Give an example example of a 3x5 matrix in BREF where RX=0 has unique solution.

A: The aim is to find an example of  matrix in RREF where  has a unique solution.

Q: Find a 2 x 2 matrix such that -3 21 5 4 - 6 ปี

A: To find a  matrix such that

Q: Type the correct answer In each box. -5 5 10 -20 0 a = b: and d%=

A:

Q: [3 1 21 2 4 -1 6 0 2 -3 0 -1 0 3 A =

A: The element in the first row, second column of the matrix A is 0. So, we have to find the cofactor…