: {1+x,1 − x²,1+x+ x² } and B' = {2 − x, 1 − x+x²,3+2x}. 3.) Find the transition matrix from B to B'. If [9] B -3 2 4 what is g as a polynomial?

Q: Given X1 + x2 + x3 = 6 2x1 + x2 + x3 = 7 X1 + 3x2 + x3 = 10 Use Gaussian Elimination to find the…

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A: here question has a mistake , though I correct it and solve it for you, here two different f(x) is…

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A:

Q: -2 -4 Let A-5 8 -2 and b = -2 -5 (a) Determine if b is a linear combination of a1, az and an, the…

A: Since you have asked multiple questions, we will solve the Question Q1 (a) and (b) for you. If…

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: Using row operation find the inverse of the matrix for any real number k [1 5 8 9] 7 2 6 8 M = 6 5 3…

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Q: 6. Find the matrix of the quadratic form. Assume x is in R³. a. 3x} – 2x3 + 5.x + 4x1x2 – 6x1X3 b.…

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Q: 04) X = [ Y = ; Hand Z = [ 3 Q.4) X Prove the Distributive laws of multiplication over Subtraction…

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A: given: A=2-34-47-55-13 and B is the matrix result from multiplying row one by 2, and adding to row…

Q: Q9. As usual, let In denote the n x n identity matrix. 1 - (a) Find a 2 × 2 matrix such that A² =…

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Q: 3. Let A, B € Mnxn (F) be n x n matrices. (a) Prove that tr(A + B) = tr(A) + tr(B). (b) Prove that…

A: Trace of matrices is sum of its  diagonal entries

Q: 6. Find the distance between the matrices A and B, p(A, B), using the ||- ||2 for the matrix -[:] -1…

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Q: For the​ matrixA=daig(-2,-1,2), put the following values in increasing​ order: det(A),​ rank(A),…

A: Given the matrix A=daig(-2,-1,2) is diagonal matrix Therefore the eigen values of A are -2, -1, 2.

Q: Q4: If the matrix A = (; :),s Show that A2- 2A – 21 = 0.

A: We observe that characteristics eqn of A will be x^2-2x-2=0. By Caley hamilton tum put x=A we get,…

Q: 3.6. Let A be the 3 x 3 matrix all of whose entries are 1. Find a matrix B such that for any 3 x n…

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Q: 5. Use the of the If matrix graphing inverse possible. N 5 (各售)(告) (0) (4) (4) 313 capabilities…

A: Given the matrix is -532311304342-1-5

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Q: diag(a1, ..., an) be a diagonal matrix (i.e., the matrix with the numbers a1, ..., an on the main…

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Q: For each of the following, factor the matrix A into a product QDQ' where Q is orthogonal and D is…

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Q: Which of the following is the matrix C that satisfies the equality (CT +312) -1 3 (a) 2 -5 (:) 5 -2…

A: First take inverse on both sides of matrix equation CT+3I2-1=2714. CT+3I2-1=2714CT+3I2-1-1=2714-1…

Q: Q2) Find x for the following matrix 3 1 x| a) -1 3 4= -30 1 ol 1 |1 2 1| b) 12 x 2=0 13 6 xl

A: We need to solve the determinant and find the value of x.  Now, if we have a 3×3 matrix…

Q: For the matrixA=daig(-2,-1,2), put the following values in increasing order: det(A), rank(A),…

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Q: Find R = A + B, given that A has magnitude 4 and is at an angle of 30° above the positive x-axis and…

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Q: Discovery 4.6. Consider 1 -3 -1 A = 1 3 %3D -2 2 3 -1 -2. Compute the product AX by considering X as…

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Q: Find the transpose of the matrix. -2 -1 D = 1 4 -3

A: