1- If x=[1 4; 8 3], find : a) the inverse matrix of x. b) the diagonal of x. c) the sum of each column and the sum of whole matrix x. d) the transpose of x. 2- If x= [2 8 5; 9 7 1], b=[2 4 5] find: a) find the maximum and minimum of x. b) add the vector b as a third row to x. 3- If x=[ 2 6 12; 15 6 3; 10 11 1], then a) replace the first row elements of matrix x with its average value. b) reshape this matrix into row vector.

Q: a) Find the matrix of the quadratic form. Assume x is in R3 5x3-x3 +7x3-5x1x2 -3x1x3

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Q: F) Create 3x5 matrix named MA and then eliminate all the rows of columns 2 through 4.

A: First we have to create a 3/5 matrix . Then we have to eliminate the second column using fourth…

Q: [1 A = 7 3 9 13 15 5 11 17]

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Q: e. Determine whether the rows of A are linearly independent. f. Let the columns of A be denoted by…

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Q: Explain why v = ( 1, 0, -1) cannot be a row of A and also in the nullspace.

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Q: Let a,b, and c be distinct real numbers, and * be any real number. Determine if the empty blank…

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Q: Q5) Check whether the following matrix is diagonalizable or not. 7 -3 A = -9 -2 3 18 -8,

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Q: Express Ac as a linear combination of the columns of A.

A: Given A=2-34-1235-1-2   C=214

Q: on f(x) = [x6] sin (x8 ) usi

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Q: Write Matlab program to find the sum of every row in matrix A: [3 - 4 81 - 3 A = -2 5 6 8. 413

A: % creating the Matrix A A=[3 -4 8; 5 4 -3; -2 1 5; 6 3 -8] A =3 -4 8 5 4 -3 -2 1 5 6 3 -8…

Q: Use row operations to change the matrix to reduced form. 111 16 3 4 8 29

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Q: evaluate the matrix

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Q: Write down the quadratic form that corresponds to the following 4 -1 -3 -3 1 324

A: The given matrix is, A=3242-1-34-31. The quadratic form of the matrix A is Q(x)=xTAx, where…

Q: = [2 1 3 -1 -1 -1 2

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Q: 2 -3 -2 2 -4 4 10 2

A: Number of columns in first matrix are 3 and number of rows in second matrix is 1. So, matrix…

Q: Use row operations to change the matrix to reduced form. 1 1 1 18 5 6 7 24 1 1 1 18 5 6 7 24

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Q: Find the transpose of the matrix.

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Q: d) Consider the following matrices: and B- 2 Find: A- i) (2AB) -1

A: Given A = 1-32-4 and B-1 = 21-11

Q: Let A be the 3×3 matrix of zeros. Describe all solutions to Ax​=0.

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Q: 1 2 6 41 2 3 2 5 6 2 3 0

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Q: C (A) of matrix A - the space of the column; Determine by finding a base and size.

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Q: Find matrix D such that D=2A+B-C

A: Given

Q: the acdjainbaf square of As of 2.

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