In Exercises 19–20, solve the matrix equation for X. 1 1 2 -1 5 7 8 - 19. 2 3 0 | X = 4 -3 1 2 -1 -7 2 1 3.

Q: find an elementary matrix E that satisfies the given equation EC = D

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Q: Exercise 3 Let A be an n x n matrix satisfying A² = 4A. What are the possible values of det(A)?

A: A be an n×n matrix satisfying A2=4A

Q: Find the elementary matrix E such that EB = A where %3D 2 3 1 2 3 1 A = 4 -3 -2 and B = -8 6 4 7 -6…

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Q: 8. Use the formula eAt = L-1 {(sI – A)-!}, to compute the matrix exponential for the matrix A =

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Q: Find the characteristic equation of the matrix: 4 C = 2 -2 2.

A: Characteristic equation of the matrix C is given by  det ( C - λI ) = 0

Q: Find the elementary matrix E such that EB = A where %3D 5 4 1 ] 4 1 A = |4 |7 -6 1 -1 and B = |12 3…

A: EB=A multiplying with B-1 on both sidesEBB-1=AB-1E=AB-1

Q: Find the elementary matrix E such that EB = A where 3 1 2 3 1 A = |2 -1 -1 and B = |4 -2 -2 7 -8 4 7…

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Q: Find the elementary matrix E such that EB = A where 3 3 3 -12 A 3 -1 -2 and B 4 8. 8 -7 3 8. -7 3 |…

A: The inverse of a matrix can be calculated by following steps  1 calculate the minor for the given…

Q: In Exercise, find the singular values of the given matrix.

A: Given matrix will be as:- A = 1100   and   AT= 1010 Now,  ATA = 11001010 = 1+1000=2000 To Find the…

Q: Find the elementary matrix E such that EB = A where 4 1 4 4 1 3 -1 -2 and B 18 -6 -12 %3D 5 -7 4 -7…

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Q: V2 1 2 11 T = 0- 2 000 -Vī

A: If A is a matrix of order and I is the identity matrix of order, then If A-1 is the inverse matrix…

Q: 3. Find the matrix X, such that XC - 2C = DXC satisfies. 3 4 4 4 1 C = 1 2 1 D = 1 0-2 4 1 -1 -3

A: Since there are multiple questions, we are solving the first question. Please post the questions…

Q: In Exercises 11-12, use the inversion algor the matrix (if the inverse exists). 1 2 31 11. a. 2 53…

A: Using conversion algorithm we found inverse of matrix

Q: 12 6 . Determine the rank and nullity of the matrix C=|0 1

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Q: In Exercise, find the singular values of the given matrix.

A: Find the product for the matrix A and transpose of A.…

Q: Find the elementary matrix E such that EB = A where 4 1 2 4 6. 1 A = 2 -3 -1 and B = -4 2 6 -8 -8 2…

A: To find E such that EB = A

Q: In Exercises 11 and 12, use an inverse matrix to find [ x ], for the given x and B. 2 11. В — X -5…

A: 11. Given : B=1-2,-35, x=2-5 Let PB be the matrix of vectors of B ⇒PB=1-3-25 DetPB=15+2-3=-1 (…

Q: Determine the cofactor of 2 in the matrix A = 1 9. 7 4 O-4 3. O -3 2.

A: Cofactor of any element aij is the determinant of the matrix formed by deleting row i and column j…

Q: 7. The rank of an identity matrix of order n is: А. п - 1 В. п C. n+1 D. 0

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Q: Illustrate the Gersgorin theorem by the matrix 2 1+ 2i 0 A = -1 -2 – 2i 1/4 1/41/2 140 12 1/7 1/2…

A: We state the theorem and explain it with the help of the given matrix A.

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: In Exercises 29 and 30, find x such that the matrix A is nonsingular. 0. A -; 29. A

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Q: 2. Given the matrix A below, Solve for IAI-¹ A = 1 2 2 1 -1 3 4 6 3 5 2 -3 -3 8 7 4.

A: We have , A = 123424681357-12-34 We need to find , A-1 To find the inverse of matrix , augment it…

Q: 2. Find the rank of the matrix 1 3 4 5 8 9. 10 11 12 13 14 15 16

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Q: a) Let A be a 3 x 5 matrix

A: For the multiplication of two matrix the number of columns in first matrix is equal to the number of…

Q: Find the elementary matrix E such that EB = A where 4 4 1 4 4 1 A = |4 -3 -2 and B = | 20 -15 -10 7…

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Q: 5. Consider the matrix 1 3 5 A = 18 18 18 5 3 1 Is A invertible? Justify your answer.

A: Given, A=135181818531A is invertible if and only if its determinantA≠0.

Q: In Exercises 29-32, write the s augmented matrix. 3 2 29. -4 2

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: In Exercise, find the singular values of the given matrix.

A: Consider  A=2102. Now ATA=20122102=2223

Q: 20. The following are rules of transposition of a matrix except: (explain) a. (A")" = A b. (A + B)"…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: In Exercises 15-22, find the inverse of each elementary matrix. 15. 16. 1 0 0 O 0 17 17. -2 0. 18. 1…

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Q: Which of the following is an elementary matrix? 1 0 1 В. 1 C. 0 0 1 A. 5 1

A: Given : Matrices A.  10-51 B. -5110 C. 110001000 D. 2002010000100001   To find : Which of the…

Q: -5 -8 Show that the matrix A = 0 is involutory. 1 -1 3.

A: Definition of Involutory matrix: Let A be a Square matrix, A is involutory if its inverse is same as…

Q: 1) Suppose that T is a linear operator with standard matrix 8 3 6 0 2 0 0 7 Is T one-to-one?…

A: Given the linear operator T:ℝ3→ℝ3 836025007 Now, we find determent of T.…

Q: 2.The statement for establishing the identity matrix A of order 3 is () A. A-one(3) B. A=ones(3,1)…

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Q: 4. Find the inverse matrix of A (A-1) 3 1 10 A= 2 5 4 -1 -3 1

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Q: Find the elementary matrix E such that EC = A where 3 3 -3 1 3 3 1 A = -1 and C = 2 -3 | 8 -7 2 23…

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Q: 9. x, - 2x, = -1 2x, + x, = 3 = -7 10. -x, + 4x, = 1 3x, - 2x, = 2 12. x, + 3x, - x = 5 = 5 Xz + 2x3…

A: We have to find the approximate solution using the Gauss-Seidel method.

Q: Let A be the matrix 5 3 2 Find p(A). p(x) = x³ – 2x + 4 p(A) =

A: Given: A=5312 and p(x)=x3-2x+4.

Q: Find the elementary matrix E such that EB = A where 2 1 3 1 A = |4 -1 -2 and B = –16 4 8 9 -7 4 9 -7…

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Q: In Exercises 15-18, find the values of k for which the matrix A is invertible. 15. A k-3 17. A = 3…

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Q: 3. Find the matrix E-' where 1 0 0 E = 1 -4 0 1

A: Given problem is :

Q: 0 11 0 2 1 5] 3. 2- Find A. A-1 if the matrix A is given by: A = -1

A: As per our guideline we are supposed to answer only first asked question.kindly repost other…

Q: Please the attachment for the question. Thanks

A: Given equation is:Determinant of a matrix is given by:According to the properties of determinants,…

Q: 3 2 21 3. Transform the given matrix to RREF -2 1 1 -1 0]

A: Given :322-2011-10

Q: Let 1 0 8 5 A = 4 7 В 0 -2 C = %3D 5 3 5 0 -3 3 2 -1 Find a matrix X such that AXB = C.

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Q: (7) (I Let A? = I be an n x n matrix and A# 1. Show that A is diagonalizable.

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