Illustrate the Gersgorin theorem by the matrix 2 1+ 2i 0 A = -1 -2 – 2i 1/4 1/41/2 140 12 1/7 1/2 1/4

Q: Multiply matrix [1 2 3] by [5 4 2 030

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Q: 2. Assume that all the operations are properly defined, solve the following equation for the unknown…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Perform the following operation: 1- -5 4 3] a +a 3 1 4 -a ||

A: Given that we have to the find the product of given matrix

Q: Solve the systems in Exercises 11-14 11. x₂ + 4x3 = -4 = -2 6 x₁ + 3x2 + 3x3 3x₁+7x₂ + 5x3 =

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Q: Put the following matrix in rational canonical form: 1 1 1 0 -4 -1 5 2 -3 3 1 1 1

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Q: Find 2 × 2 matrices A and B such that т 6 ]A+[, -1 JA+I 5 -5 ]B = [ 4 -6. ] and -2 -1 4 0 -2 -4 3 -4…

A: Given: The equations  06-1-1A+5-534B=4-60-2T0-211A+-4-8-3-6B=3-47-3T

Q: solve the matrix equation for X -1 1 -1 5 7 8. 3 0| X = 4 -3 1 2 -1 3 5 -7 1

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Q: Find a 2 x 2 matrix such that 3 -2 -2 = 61

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

A: The detailed solution is given below Thank you

Q: , and c

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

Q: Consider the matrix 2 -1 5] -2 We can obtain 1 in the shaded position if we multiply all the numbers…

A: To determine the number by which multiplying in the row shaded position becomes 1.

Q: Express the matrix = [₁,1] - 9 and its inverse as a product of two elementary matrices. A =

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Q: Show that A satisfying A P-¹BP. P-1 -4 2 0-21 0-2 and B (-4(2sqr (-2i(2sqr (-2i(sqrt( 2i(4sqrt(…

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Q: Write down the (3,3) entry of the inverse of the matrix [1 2 3 122 1 1 1 A

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Q: Write down the quadratic form that corresponds to the following 4 -1 -3 -3 1 324

A: The given matrix is, A=3242-1-34-31. The quadratic form of the matrix A is Q(x)=xTAx, where…

Q: Consider the matrices [2 1 A = 2 2 -2 31 3271 and x = X1 B Xx2 a. Show that the equation Ax = x can…

A: TO solve the system of linear equation we use matrix method .

Q: Show that the matrix TR2 is the inverse matrix of (R-1)²T-1.

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Q: Formula valid for matrices? explain why? (A + B)(A - B) = A²B²

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Q: 1 1 1] A= 2 4 -3 - 5|] b. Find the inverse of the matrix

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Q: erations are required to form the product AB? Please explain clearly.

A: Solution is attached below.

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

A: To find a  matrix such that

Q: 2) BA= 3 2 201 L2-3] 3]

A: To solve the matrix multiplication.

Q: Suppose A is a 2 × 2 matrix with real number entries such that AB=BA for all 2 × 2 matrices. What…

A: Suppose A is a 2 × 2 matrix with real number entries such that AB=BA for all 2 × 2 matrices. What…