Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save time, the eigenvalues are 2 and - 16. - 6 4 A = 4 0 - 4 8 - 4 - 6 ..... Enter the matrices P and D below. (Use a comma to separate answers as needed. Type exact answers, using radicals as needed. Do not label the matrices.)

Q: Given a matrix A = -2 Find the matrix B if 2B - 312 = A. %3D

A: Given: A= 50-21 Now lets assume B=abcd

Q: Find the matrix of the quadratic form. Assume x is in R?. a. 3x - 8x,x2 + 2x3 b. 5x, + 18x,x2

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Q: Use Invere matrix method to solve the following equations: -ut-1 2r - 2y + 2: = 2 -3r +3y +32 =-3

A: Explanation of the solution is given below...

Q: -8 -9 -1 7 1 8 1-9 R1 +R2 R, - 17 1 (Simplify your answer.)

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Q: Find the matrix of the quadratic form. 8x1x2-10x1x3 + 8x2x3 Select one: OA. 08-10] 80 8 0 O B. O C.…

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Q: Solve For B = 3 the 2 1 20 -3 inverse op matr 1 2

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Q: solve by finding an inverse matrix 2x+y=6 x+2y+z=12 x-y-z=-5

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Q: The figure to the right shows the letter L in a rectangular coordinate system. The figure can be…

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Q: 1. Solve with matrices: -7x₁ +5x2 - 6x3 = 3 5x12x2 + 3x3 = 5 X1 X2 + x3 = -2

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Q: 2 =(², 2). (a) Find the inverse of the matrix A = (b) Find the direct product of the matrices A = =…

A: (a) The given matrix is A=21-12 (b) The given matrices are A=1302, B=12-12 (c) The given matrix is…

Q: 4 [-2 1 4 3 - 1 1 4] 2

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Q: (c) Using matrices, find the images of the points (1,7), (-4,5) and (8,2) under a translation of +6…

A: Write the matrix as x and y coordinate. Then proceed  xy = 1-48752

Q: Find the size of the matrix 0.

A: Count the number of rows and columns

Q: Express Ac as a linear combination of the columns of A.

A: Given A=2-34-1235-1-2   C=214

Q: Find the matrix of the quadratic form. 5x + 3x² + 2x3-8X1X2 + X2X3 Select one: O A. 5 -4 1/27 -4 30…

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Q: [1 3 A = 0 2 2 2 l2 1 1.

A: given matrix is                                                A=131022211 we have to find inverse…

Q: A = II 18x28xy + 18y² - 74 = 0

A: We can write any polynomial into quadratic form  if power is same eg: here x^2, Y^2, XY all have…

Q: Find AB. tep 1 Perform the matrix multiplication by using the row-by-column multiplication…

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Q: form the row operation R, and replace R, on the

A: Given,  6000200024255 The row operation is performed.

Q: Use Inverse Matrix to solve the following equations: x – 3y + 2z = 4 -2x – y + z = 5 | x – 2y – 3z =…

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