Let 1 9 9 -1 1 1 2 - A 1 0 Jand P = | 0 0 1 %3D 0 15 -2 | 1 0 5 Given that P diagonalizes A, then compute A". -1 -10241 2049 All %3D -10235 2048

Q: 5. Diagonalize A (if possible), that is, find a representation of the form A = PDP-¹, where D is…

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Q: -6 21 -2 4 -14 1 3 Find the row space and null space of A || = 1 -2

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Q: THE 10 (and no row operations) to find scalars C₁, C₂, C3 such that 25. Note that -7 -3 B-080 [] -3…

A: 25. Given that 4-315-25-62-3-3-12=-7-310. We have to find the values of c1, c2, c3 such that…

Q: -14 2 4 Let A= 2 -17 2 Find an orthogonal matrix P with rational entries and a diagonal matrix D…

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Q: (b) Let L: M2x2 → M2x2 such that L(A) = At. Find the matrix repre- sentation of L from [L]s,s=

A: Given Given  such that .Find the matrix representation of L from S.

Q: 3 1 4 3 Compute AB if A = and B = -3 -2 -1 1 -6 Show that First Row of AB is linear combination or…

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Q: Find a matrix P such that P'AP orthogonally diagonalizes A. Verify that P'AP gives the proper…

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Q: Let -5 -0.5] 1.5 -3 Find an invertible matrix S and a diagonal matrix D such that S-¹AS = D. A =…

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Q: Suppose that A = PDP-1, where P = A¹ = 100 -1 1 -1 0 -1 0 Use the diagonalization of A to compute…

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Q: Determine whether b is in col(A) and whether w is in row(A). 1 1 -1 1 400-0--- b = 3 W = 5 -1 -7 2 A…

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Q: 3 -1 Let A = and B = 1. %3D a) Find all IR Such that the in Columns of AB lin early dependent are to…

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Q: 5. Which (if any) of these matrices are negative semi-definite? -4 0. i.

A: Determine whether the matrix is negative semi definite or not

Q: 1 0 0 3 0 1 0 0 0 0 0 0 0 0 -6 [1 1 -4 8

A: For the solution one needs to convert this augumented matrix in Ax=b form then it is easy to see…

Q: Let A = [-13 -2 4 -10 P = -2 4 2 Find an orthogonal matrix P with rational entries and a diagonal…

A: According on the given data, find the orthogonal Matrix P and diagonal Matrix D.

Q: 3. Find bases for the nullspace and row space of A. 6 4 -1 -2 5 7 A = 1 3 -1 2 4 5 1 -2 0 3 9 -1 -1…

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Q: The matrix that implements the mapping T (₁, 2) = (-3x1 +4x2,0, 7x2 - 5x1,1 + 2x₂) is -3071 4 052 0…

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Q: tA= 10-3 04-4 - 28 2 and b = 4 -6 Denote the columns of A by a₁, a2, a3, and let W = Span {a₁, a₂,…

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Q: The matrix [50] 02 a) Draw the transformated shape. 5+ 4 3 2 1 -5 -4 -3 -2 -1 is applied to every…

A: Given thatThe matrix  is applied to every point on the unit circle.We have to draw the transformed…

Q: 3. Write the negation of each statement. ☆ (a) The 3 × 3 identity matrix is singular. (b) The…

A: According to our guidelines, we can attempt only first three subparts. Please repost the other parts…

Q: Find the characteristic equation for the matrix A 3 0 0 A = 0 1 -1 0. 1 3 -X3 – 7X? – 16X + 12 = 0…

A: Use the method of characteristic equation to find it as in next step.

Q: -(000 5 4. 4 1 1

A: the given vectors arev1=1-241,    v2=3-512, v3 =2-3-23

Q: If L and U are invertible, then (LU)²001-U001L001 Find A001 from the given LU factorization: = -2 0…

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