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 5 11 4 11 5 2 5 .d 5 3 -2 -3 4 11 -11 6.

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: -5 and B = 1 -4 -4 1 If A = find 4 -3 -2 A · B, if possible. Select the correct answer below: -24 10…

A: Given  A=1-5-31 and B=-4-4-24

Q: 1 1 1 3 1 k) A =1 2 4. B-0 3 2 2 1 20 1) (1 0 1 2) 5 3 -1 8 2 0 B- -2 -3 -3 -5 0 -1 -2 3 1) A= 4 -3…

A: Please follow the next step.

Q: a. what is the size of A? b. how many additional rows would A have to have to be a 3quare matrix.

A:

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: 4. A = -1 0 5-2 245 0 -3 , B= 7 650 -3 -4 2 -1,c=7,d=5 7 9

A: we are given the matrices and we need to find out the matrix cA+dB

Q: B. Suppose A and B are 3 x 3 matrices, where B is a diagonal matrix. 1. Describe the sum A+ B.…

A: A diagonal matrix is a square matrix , where all of it's non - diagonal elements are zeros .

Q: -1 2 аnd AB 5 1. Find the matrix B. 3 Let A = 6 -9

A: This is a problem of matrix multiplication. Based on the general formula we will solve the question.

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: 1. A = 2. 0 2 1 4 1 -4 -1 -3 [1 B = 3 3 3 3 -3 97 10 10 -7 12 -1 9 -7 -6 2 2 2 -10

A:

Q: 5. Determine if the columns of the matrix form a linearly independent set. [o - 8 - 7 51 3 4 -1 5 -…

A: We have to check whether the columns of matrix are independent or not.

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

A: Upper triangular matrix is the matrix in which the values below the main diagonal are zero and the…

Q: What is the matrix corresponding to 2x – 4r122+ r + 2 + 6x1T3? Select one: 2 4 O A. -4 1 3. 2 4 6 O…

A: Here we will find the corresponding matrix for the given expression,

Q: IS A,B.and Care matrices,then (A+B) a. A + B + AB+ BA b. A +B +2 AB C. A' +B d. 4' + B +2BA

A: (A + B)2 (A + B)(A + B) A·A + A·B + B·A + B·B A2+B2+BA + AB (A + B)2 = A2+B2+BA + AB

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: Determine whether or not the following sets Sof 2 x 2 matrices are linearly independent. Select an…

A: Note: As multiple questions have been asked, so only first question 1 has been solved according to…

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

A:

Q: Let A be an nxn matrix. Determine whether the statement below is true or false. Justify the answer.…

A:

Q: Determine if the columns of the given matrix form a linearly dependent set. 3 4 3 1 3 -2 0 -1 -7 5.…

A:

Q: Which one of the following is not a diagonal matrix? .a 0 0 3 0 2 0 1 0 0 .b -5 0 0 5 0 0 0 5 .C -1…

A: A matrix is a diagonal matrix if it has non zero entries only at the principal diagonal while all…

Q: Find the minors and co-factors of C2, C2, C, C3, C23 of the given matrix 7 -12 A = 8 -5 11 -9 -1 -19

A: We know Minor, Mij is the determinant of the matrix obtained by deleting ith row and jth column…

Q: ssume that you are given the two matrices A and B below. If the multiplication matrix is qual to C,…

A:

Q: -1 2 31 13 9-1 0 Find the transpose of the matrix. -27-2 3 Choose the transpose. O A. - 1 9-2 OB.…

A: Use transpose of matrix

Q: (1 2 3 The matrix A = 4 5 6 may be written as S + T, where S is a symmetric matrix and T is a 7 8 9…

A: Use the given matrix.

Q: Determine the value of the given element of the matrix. a34 A = 3 15 -7 Select one: O a. -5 O b. 24…

A: A=3-89-215-3108-72-513

Q: Which of the following describes the matrix? [8 9 4 5 26 317 03x3 03 x 9 09 x 3 02 x 3

A:

Q: Compute the 1-norm, x-norm and 2-norm of the following matrix. Show all steps of your calculation. 3…

A:

Q: 2 8. Diagonalize the following matrix A = -4 L3 4 -6 3 31 -3 if possible. Explain! 1

A: