In each part of Exercises 1-4, determine whether the matrix is orthogonal, and if so find it inverse. 1. a. 2. a. b. b. √₂ √2 I 3. a. 4. TO 1 1 0 0 0 √2 0 √2. b. b. Sit-ost- [1 0 0 0 ST ST STO 51-551- 0 -1 0 3 0-0 TSIST

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Q: -2 6. What is the diagonal matrix Find an orthogonal matrix Q that diagonalizes A = 6. A?

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Q: matricer and Application uce an inverse matrix to rolve ea ch linear cyctem 2. ら、 2x 3 + x2 + 3 x3…

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Q: If A and B are similar, then there exists a matrix P such that B = PAP. Use this fact to fi -2 2 -3…

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Q: REI [1.5 5 -151 2 30 -1 2 1 .5 and C= [-2]. -.5 16. For this problem, let A = a) Use your calculator…

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Q: Matrix  A = a11 a12 a21 a22 a31 a32 B =  b1 b2 C = c1 c2 c3     Find C*A. Find C*B.

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A: Given that A=5011414101104151 Adjacent Matrix is  [A|I]=50114141011041511000010000100001

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Q: An identity matrix is represented by... . а. Нн-1 O b. HH-H C. H-H

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Q: - Use the fact that if A= A ab (8) cd OA. -1 then A = 1 ad-bc d <-C OB. The matrix does not have an…

A: Use the fact that We have to find the inverse of the given matrix also we have to  check that AA-1 =…

Q: 1. Find the inverse of each matrix using the adjoint matrix. (2 1 5) b) B = 3 0 1 1 2 1 (2 -5 -3 a)…

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Q: Let A and B be n x n invertible matrices. Use matrix algebra to simplify A(A¯¹ + B¯¹)B.

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A: Given that the matrix A=5-1-51

Q: find A³. Write A³ as input your answer below: all = 912 = Given the matrix 921 = 922 = ^=[83]. A A³…

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Q: = [₁ Construct a 2 x 2 matrix B such that - AB is the zero matrix. Use two different nonzero columns…

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A: The bases B and C for ℝ2 is given as follows: B=b1, b2=-12, 1-1C=c1, c2=12, 11 We are asked to find…

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A: We are Given : Q=163120-22-312⇒QT=1630-31-21222 For Orthogonal Matrix Q, QQT=I Calculating QQT…

Q: Perform the matrix operation: F=(A+C)-B. What is F,? 8 7 A = -4 3 6 -4) B = 2 6 -11 -7 C= 5 6 а. b.…

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Q: Which matrix does not have an inverse? OA 3 O B. 6 oc O D. [ -49 C. O C. 8 4 OD. -6-4 3

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