Which one of the following is an upper triangular matrix? .a 5 3 1 0 -5 2.6 0 0 5 .b

Q: Use the following matrix. 10-2 3 2 A = 1 40 3 ? What is the element a 31? a31

A: The given matrix is A=10-2321403. We have to find the element a31.

Q: What are the dimensions of the following matrix? 9 -9 -5 2 7 - 7 8 -2 -7 1 -2 3 9. -4 -9 2 -4 –2.

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Q: Which of the following matrices are skew-symmetric?

A: Given :           012-105250     To find whether the given matrix is skew symmetric.

Q: For which values of the constants b and c is the follow- ing matrix invertible? 1 b -1 -b

A: The given matrix is 01b-10c-b-c0

Q: Solve for A: You can resize a matrix (when appropriate) by clicking and dragging the bottom-right…

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Q: Find the matrix A if 3 1 4 A = 11 00

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Q: Determine if the matrix is nonsingular. Explain. [1 3 21 1 4 l1 -7 21

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Q: Let A be a real 2 x 2 matrix satisfying A? - 4A = 0, where O is the zero matrix. SKIP Find the…

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Q: Find the matrix A if 21 . 2. 1 3 1 3

A: 21-13A =4213Now we have to find the inverse of the matrix 21-13

Q: Determine whether the matrix is symmetric. 39 4 9-5-2 4-2 0 Yes No

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Q: Determine whether the matrix is positive, negative definite or indefinite [7 4 7] A= 4 7 4 4 4 7

A: A matrix is a positive definite if the matrix is symmetric and all its eigenvalues are positive.  A…

Q: 3 0 A =|-3 7] 1 -1 2 4 91

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Q: 7. 1 1 -4-2 Let A-2 3 2 4 -8-5 . (a) Show that A is diagonalizable and find a nonsingular P such…

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Q: Diagonalize the following matrix. – 26 – 15 50 29 D 1 P ||

A: Let A=-26-155029. To diagonalize the matrix A, first we have to find the eigenvalues of the matrix…

Q: |adjA| = |A]"=1 n-1

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Q: a 3 A= -6 2 2 4

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Q: Determine whether the matrix is symmetric.

A: Now the transpose of this matrix is,

Q: 5. Diagonalize the following matrix. 3 B = -3 4 9

A: Let A = aijn×n be any n-rowed square matrix and λ is a scalar. The equation AX = λX is called the…

Q: Which of the following matrices are skew-symmetric?

A: Given: Let A=12-23 To Find: To check the given matrix for skew-symmetric

Q: Which one of the following s a symmetric matrix? .a 5 3 2 3 4 11 2 11 6 .b 3 2 11 4 3 6 11 5 .C 5 2…

A: Suppose A is a square matrix then A is  Symmetric if AT= A

Q: add new column [0;0;0] to the matrix a[12 3, 45 6 ,7 8 9]. * Your answer

A: We have to add column [0;0;0] to the matrix a[1 2 3;4 5 6;7 8 9]

Q: Determine the rank of the matrix. 1 -2 2 -3] 6) 2 -4 7 -2 -3 6 -6 9

A: We have to solve given problem:

Q: H.W Find the Adjoint to the following matrix 4 X = -3 7 1

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Q: Some entries of a 3x3 matrix A and its are given as follows; 2 3 -4 A = and adj(A) = a 3.

A: Introduction: The numbers or functions are referred to as the matrix's elements or entries. A matrix…

Q: Which one of the following matrix is a Lower triangular matrix?

A: A triangular matrix is a special kind of square matrix in linear algebra.    Find: Which one of the…

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: What would the following matrix look like to be a dominant diagonal? 3 -4 2.4 -3 1 4.2 2 1.5 -1 L 4…

A: A matrix is said to be diagonally  dominant if for every row in matrix A , the magnitude of the…