Use a graphing utility with matrix capabilities to find the following, where u = (1, -3, 1, 2), v = (0, 2, -1, -2), and w=(3, 1, 2, -2). (a) u + 3v = (b) W-4u = (c) 2v + u- - W=

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: Explain the fact “Cofactors are useful when matrices have many zeros”.

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Q: What does interchanging any two rows (or columns) do to the value of the determinant?

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Q: Use LU decomposition to determine the matrix inverse for the following system 10х, + 2х, — хз%3D27…

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Q: The parabola y = a + bx + cx² goes through the points (x, y) = (1, 4) and (2,8) and (3, 14). Find…

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Q: Apply the column mix operation to the matrix S Enter your answer as a 2 x 2 matrix with hexadecimal…

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Q: What is the rank of the matrix?

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Q: What is the rank of the matrix A = 2 1 5 -1 2 -5 0 3? -3

A: See this solution in below.

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: Find the range of a (2 × 3) matrix B with rank(B) = 2

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Q: Use the definition of A to write the vector equation as an augmented matrix. 0 x₁ + x2 + x3 + X4 =

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Q: Write down the (1,2) minor of the matrix 1 -1 3 -1 1 01 45

A: Given A=1-11-101345

Q: x1-3x2 = 1 -8x1-7x2= 1 3x1+2x2 = 4 -10x1-x2 = -2 You can resize a matrix (when appropriate) by…

A: Answer given below.

Q: Given A = 1 0 0 -3 1 1 1 - 2 -1 " x = and b = 300 150 400

A: Given that the system Ax=bHere A=1-3101-201-1 , b=300150400

Q: 1 1 1 121 N 3.

A: To Find the inverse of the matrix

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: Determine the order of the following matrix: [[9,-5], [0,0]]

A: Order of the matrix is expressed as  Number of Rows X Number of Columns

Q: Find the trace of the matrix 3 A 2 -2 tr(A)

A: The given matrix is A=-332-2. Find the trace of the matrix A as follows.

Q: Is the following matrix diagonalizable¹? 3 B=0 0 -3 1] 3 1 0 3

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Q: can you put the answer in matrix form

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Q: Write equations z + 2y + 3: = a, y – z - b, and 2y + 2: - c, as the matrix equation ()-) A and then:…

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Q: 4, 4, -7 -5 Compute 2(2A - 3B) if matrix A = and matrix B = %3D 3 - 4 2. 2(2A - 3B) = (Simplify your…

A: Multiply A by 2A=433-42A=2433-42A=866-8Multiply B by -3B=-7-52-4-3B=-3-7-52-4-3B=2115-612

Q: Use a graphing utility with matrix capabilities to find the following, where u = (1, 2, 1, -3), v =…

A: Given  u = (1,2,1,-3) v = (-2,2,0,-1) w = (-2,3,1,2)