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

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

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Q: If A = Find the matrix 22A - 5(A + 2B) + 27B and B = B) 17. 151 -341 51 341

A: From the given problem:   A=3-52-4 ; B=-3516   22A-5A+2B+27B...1   So,   22A=223-52-4=66-11044-88…

Q: Q2. For the matrix, A = (a) Find 2 Tr (2 A). (b) If A = 21 8 7 4 6 7 5 4 find (A)-².

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Q: 3 Compute x using the vectors w = -4 and x = 2 - 5 2 x = (Simplify your answer. Type an integer or…

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Q: Express the quadratic form (c₁x₁ + C₂X₂ + ... + Сnn)² in the matrix notation TA, where A is…

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Q: What is the name of the matrix, Sij?

A: Sij is called as similarity matrix.

Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

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Q: 9. A = -2 2

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Q: * ( For the matrix shown find (- 3 A 3 - 1 4 1 A = %3D 1 1 6.

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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: Determine the coefficient matrix A, the right-hand side vector b, and the augmented matrix, A of the…

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Q: (b) Table Q4(b) is generated from the function ƒ(x)= e* - 4x² + B , where B is the last two digits…

A: Given: fx=ex-4x2+B To find: f'1.5

Q: Find the size of the matrix 0.

A: Count the number of rows and columns

Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

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Q: (b) Let A be an m × n matrix. Prove that row(A)- = null(A). =

A: Given information: Matrix A is of order m×n. To prove: rowA⊥=nullA Orthogonal complement: Consider V…

Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

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

A: v + 2w = (-1,-2,2,0) + 2(1,-2,2,3) v + 2w = (-1,-2,2,0) +  (2,-4,4,6) v + 2w = (-1+2,-2-4,2+4,0+6) v…

Q: Matrix B:

A: Given two matrix A and B  ,we have to find the value of A-B.

Q: Let matrix A = 1 1 1 3 2 1 −2 3 1 (a)Find two distinct row echelon forms of A. (b) Find the…

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Q: v = (5, 2, -12, 13, 6) u, = (1. 2. -3. 4. -1)

A: Given,              v=5, 2, -12, 13, 6u1=1, 2, -3, 4, -1u2=1, 2, 0, 2, 1u3=0, 1, 1, 1, -4u4=2, 1,…