The matrix A can be factored as A = PDP-1 where D = Find (A + 1)5 (A + I)5 = -1 01 [1 0 2 and P = [1 -1] 0 1

Q: Find the matrix of the quadratic form 2x,² + 3x2² – x3² – 4x1x2 +2 x1X3 + 6x2X3

A: The symmetric matrix for quadratic form ax12+bx22+cx32+dx1x2+ex2x3+fx1x3 can be written as…

Q: Q5/ By Using Cayley-Hamilton method the inverse of the following matrix is:

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Q: Factor these two matrices into A = XAX-¹: A 03 X Λ = A: = 3 3 X = Λ 9 9 (Note that you must provide…

A: Step 1: Step 2: Step 3: Step 4:

Q: 5. Let A be an n x n matrix. (a) (b) Show that if A is an orthogonal matrix, then det(A) = ±1. Show…

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Q: 5 2 ; B = -2 -2B

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Q: Factor these two matrices into A = XAX-¹: A 03 X Λ = A: = 3 3 X = Λ 9 9 (Note that you must provide…

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Q: X1 + 3x2 – 2x3 + 2xs = 0 2x, + 6x2 – 5x3 – 2xg+4x5 – 3x6 = -1 X3 + 5x4 + 3x, = 1 x + 3x2 + 4x4 + 2xs…

A: Given that the system of linear equations is…

Q: Find matrix X:   3.     6     5     4     -2   *X=     18     49     -20     6

A: The detailed solution is given below Thank you

Q: Find the matrix exponential of -3x1 + 8x2 x2 = 12x1 – 7x2 and use the matrix exponential to solve…

A: Given that  x1'=-3x1+8x2x2'=12x1-7x2 and the initial conditions are x10=1,x20=-1 The objective is to…

Q: For matrix A = (²3 §), if f(x) = X² - 2X, what is the answer to f(A)?

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Q: If A is a 3 x3 matrix and det(A) =-3, what is det(4A)?

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Q: For n × n matrices A and B , when does (A + B )(A − B ) = A 2 − B 2?

A: Commutative rule: The product of two matrix does not follow commutative rule: AB≠BA Given:…

Q: If then which of the following are true? Select one: O det -2c 3 f -h -i -2a-2b 3d 3e [3a -b 2c det…

A: Given :        abcdefghi=3  If each element of a row (or a column) of a determinant is multiplied by…

Q: Q10.5 If A is a 2x8 matrix and if B is mxn , figure out the value of m if BTAT is a 20x2 matrix.

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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: [2 2 Give two different matrices B so that in each case B 2 2

A: Given matrix

Q: Factor these two matrices into A = XAX-¹: A 03 X Λ = A: = 3 3 X = Λ 9 9 (Note that you must provide…

A: Step 1:Step 2:Step 3:Step 4:

Q: Q8: Given that -2 X = 1 8 -8 -9 -9,Z -7 7 -2. -8 5 what is the matrix 3X + Y – 3Z?

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Q: Q2 For the following equations 2x1 + 2x2 +3x3 38 %3D 4x1 + 5x2 +3x3 = 6 2x1 +3x2 + 5x3%32 A) Find…

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Q: Find the equation of the least squares using matrix methods. Use your equation in a above to…

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Q: Suppose the only solution of AX-B is the zero matrix (A is nxn and B is nx1). Then the RREF of A | B…

A: Given the only solution of AX=B is the zero matrix ( A is nxn and B is nx1 ) . The RREF of A | B is…

Q: Find the following matrix product, if possible.  [-3  -4  1]  [-1] [-8  0  4]    [-5]…

A: Matrix multiplication: If the number of columns in A equals the number of rows in B, the product of…

Q: -14 2k -81 9. Find the values of the variables 3f %3D 3 -3 3 10. Find the zeros of the polynomial r3…

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Q: The matrix A can be factored as A = PDP-¹ where D Find A4 A¹- 00 18 61₁ and P = 31 [10 -3 ] 37 -11

A: Where  and .To find: .

Q: For matrix A if g(X) = X² + 4x + 2, what is the answer to g(A)?

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Q: (33) -3 2 -1

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