EXER 5 [: Show that a. X=I - KKT is non-singular b. solve for X₁¹ c. write X as a product of elementary matrices. K= 012 -1 -1 0

Q: Solve using inverse matrices

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Q: 1 0 0 0 -1 -2 If [ B|1]=0 1 0 1 -2 1 where I is the ldentity matrix then B = %3D 0 0 1 -2 -2 0. 3.…

A: According to question,  B | I  = 100          0-13-23010          13-231001           02313

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: [-3 -2 Let A= 0 -6 and b = 14 3 2 6 Determine whether b is in the column space of A.

A: If b is in column space of A then Rank (A:b)=Rank(A).

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: -1 find its inverse A¬'. Check that your inverse is actual in 2 For a matrix A = -3 Ichow vour work…

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

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Q: EXER 3.1 Find a symmetric matrix E (E = ET) and a skew-symmetric Justify all parts of the solution.…

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Q: 8. (3pts) Let A and B be arbitrary n x n matrices. Multiply (A – B)(A+ B).

A: As we know that (A-B)(A+B) = AA+AB-BA-BB=A2+AB-BA-B2here AB need not to be equal to the BA. Because…

Q: Q5. What is the result of the matrix operation 2E - 3D? Q6. What is the result of the matrix…

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Q: Find a matrix X that solves the equation 1 2 3 4

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Q: Find the product of the following two matrices. 01 -2] - [1436 237 -3 -2 3 0 Columns: 2 Rows: 2

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Q: use the following matrix                    D=   [5  3]         D=  [4   6]  write the negative…

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

A: Given A=2-34-1235-1-2   C=214

Q: Solve for the matrix X: 35 1 2 *(²2)- ²×(²3)-( :) X = 72 20 The first row of X is given by is X11 =…

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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: State the next elementary row operation that should be performed in order to put the matrix into…

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Q: 0 0 1 0 0 10 0 1 0 0 0 0 0 0 1 Find

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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: State whether or not the matrix is in reduced form. 130 1 0 0 10 0001 Not Reduced Form Reduced Form

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Q: Give a matrix A and vector b so that Ax = b has no solution, but Ax = b has many least squares…

A: For first part consider an example which is following :Here  has no solution, but  has many least…

Q: 15 Use Use the Inverse matrix (x-4y=D5 4x -15 y= 20 %3D

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Q: Use elementary matrices to find the inverse of

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Q: Solve for X using the matrices below. 2A + 4B = -2X 4 -1 0 3 -#-# A = 3 0 and B = 2 0 -4 -1 X = 3-4…

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Q: 1 if k = i and l = j if k = j and l = i if k = l but k # i, j 1 (Si3)ke = 1 otherwise.

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Q: Find the product. 1. 5 x 5 x 5 2. (-3) × (-3) × (-3)

A: The product of two positive numbers is a positive number. The product of two negative numbers is a…

Q: Calculate AB – 2CT where 1 2 A -1 0 1 1 2 1) В C = 0 1 (-3 2, -

A: Given the matrices A=12101-1,B=-1021-11,C=-21-32. Calculate AB-2CT.