Given the matrix 2 2 2 3 1 A = 0 2 7 7 Find the |A| by transforming the matrix A to the triangular form.

Q: Find an LU factorization for the matrix A = -2 3 4 1 -3 0 2 3-2, Verify that LU = A.

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Q: A is a 4 by 4 matrix with 1 's on the diagonal and -a, -b, -c on the diagonal above. Find A - 1 for…

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Q: 4 -5 -9] 0 -3 1 -2 -3 The matrix A has an eigenvalue A = -3. 1

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

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Q: 5. (a) Consider T = LA: R³ - where A is the matrix A = R¹, T(x) = Ax 1 0 0 0 1 0 000 000 (In the…

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Q: Find a 3 by 3 matrix that scales the point (x,y,z) by 2 in the x direction and 4.5 in the direction,…

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Q: Find the LU factorization of the matrix: A = 1 2 0 -1 -1 3 4]. 3 -2 -8 2 Show all the steps of your…

A: Answer is given in below stepsExplanation:Step 1: Step 2: Step 3: Step 4:

Q: Perform elementary row operations to transform the matrix [2 3] 5 6 into the identity matrix.

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Q: Prove that (A + B)² = -(A + B) in matrix..

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Q: Find the 3x3 matrix that induces the described action on R3. Rotates the xy plane by 30 degrees,…

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Q: Find a 2 by 2  matrix that scales the point (x,y) by 0.5 in the x direction and 3 in the y…

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Q: -4x – y – 6z = -39 -9x + 7y + 4z = 47 – 7x – 6y + z = -52

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Q: Write 2x + 3y + z + 5t = 8 as a matrix A (how many rows?) multiplying the column vector x = (x, y,…

A: Given: Equation is Objective:Represent the equation in matrix form, , where  is the coefficient…

Q: 2 -1 3 1 0 0 1 A = -1 2 no

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Q: Find a 2 x 2 matrix B so that B2 = A, where

A: Given matrix A=-7-16817 To find matrix B such that B2=A.

Q: , and c

A: Given quadratic form is, Here, A is symmetric matrix as,

Q: Find the characteristics roots of the matrix 2 A =| 1 2. 2.

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Q: Perform the elementary row operation R2 → R3 to matrix B to obtain matrix C. -1 0 0 01 1 2 4 2 -2 A…

A: Our Aim is to perform the elementary row operations R2↔R3 to the matrix given below:-

Q: Write down the 4×4 3D matrix to move by(xm,ym,zm).

A: A 4 by 4 Matrix 3D matrix used for the purpose of representing the given vectors is called…

Q: 4. Find the symmetric matrix, diagonal form of the quadratic form Q = 2x2 + 2y2 + 2z2-2xy-2xz- 2yz,…

A: We have to find the quadratic form of the equation Q=2x2+2y2+2z2-2xy-2xz-2yz which is a polynomial…

Q: Find the 3x3 matrix that induces the described action on R3. Rotates the yz plane  by 45 degrees,…

A: We have to find 3×3 matrix that rotates the yz plane by 45 degrees and reflects the x-axis.

Q: Solve the following system of linear equations using Row Reduction. (Set up an augmented matrix and…

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Q: Let A be an m x n matrix and let b and c be column vectors with n components. Express the dot…

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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 transpose of the matrix.

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Q: Write down the 3 x 3 matrix that rotates a 2D point by angle about a point 0 p = (xp, yp).

A: Consider point .To write the  matrix that rotates a  point by angle  about a point .

Q: Find the matrix B such that 2AT+3B=0.

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Q: Get the reduced step shape of the matrix shown in the image.

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Q: -2 11 and vector b = -5 Is b in the Let the matrix A = 3 -2

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Q: Find the matrix P that transforms the matrix into diagonal. Make the matrix A diagonal using P.

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