Given the matrix A and its reduced row echelon form below: 1 2 0 -2 3 5 10 -8 -3 10 -12 -8 A = 3 1 -9 6. -1 7 -3 4 -3 -1 3 -4 -3 | 1 2 0 0 -2 3 0 0 1 0 -2 –1 3 -1 | RREF(A) = 0 0 0 1 0 0 0 0 -4 1 2 0 0

Q: Find the matrix of the quadratic form 2x,² + 3x2² – x3² – 4x1x2 +2 x1X3 + 6x2X3

A: The symmetric matrix for quadratic form ax12+bx22+cx32+dx1x2+ex2x3+fx1x3 can be written as…

Q: Why is the following matrix not in reduced echelon form? Row reduce the matrix to reduced echelon…

A: Let We have to explain the reason for this matrix not to be in reduced echelon form.Also we have to…

Q: 3 1 -4 A = 3 -3 2 10 -2 1 -2 -2 to reduced row-echelon form.

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Q: Write the augmented matrix of the system - 75x 2x -64y +1z +54z +6y-53z = = 5 -82 -57 8 E]

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Q: -9 9,

A: Given: Matrix A A=145-9-7-1-2-131-2-303-10-3-649 To Find: Row Echelon form using Gauss Elimination…

Q: (2x1+3x2 - x3 +3x4 + X5 = 176 | 3x1 + x2-4x3 + 3x4 - x5 = 0 X1 + X2 + 3x3 - 4x4 + 2x5 48 %D X1 + 2x2…

A: The given…

Q: Apply the following elementary row operations to the matrix (a) R₁ → R₁ - 5 R₂ (b) R₁ → R₂ (c) R₁4…

A: A=-4-5515-30-234-45

Q: Find the reduced row echelon form of this augmented matrix -2 3 - 13 1 1 5 1 00 100 150 200

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Q: a. Write the augmented matrix. 7x = 9 +2y 2(x- y) = 4 b. Write a system of linear equations…

A: (a)

Q: Give the reduced row echelon form of the augmented matrix 5 0 200 - 11 -3 0 250 9 1 400, 18 33

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Q: Given the following systems of linear equations *, + 3x,– 5x,=2 3x, + 1 1x,- 9x,=4 -,+x,+6r,=5 What…

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Q: Consider the matrix equation over the set of real numbers given by ³22169-13 20] 2 [²3 3b -b+2c] (a)…

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Q: Write the augmented matrix as a system of equations 1 0 -2 100 0 1 1 150 1 300 y+ = Z

A:

Q: -4)· (- 1 2 -4 1 -3 2 1 17 -31 (d) -2 -4 16 16 9 10 -8 e? This set is

A:

Q: consider the following system of equations: x-3y+z=4 2x-8y+8x=-2 -6x +3y -15z=9 Use Gaussian…

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Q: Give a row-echelon form of the matrix A and give its rank: 1-2 1-4 0 A= 3 -3 906 1 -3 -1 -8 -2

A: We find Rank of the matrix.

Q: 2 3-2 10 51 1 2 1 2 1 2 1. Convert the following matrix to row echelon form: LIST ALL ROW OPERATIONS…

A: Row echelon form is a matrix in which all the elements below the pivot element is zero Consider…

Q: 2. Find the elementary row operation that transforms the first matrix into the second, and then find…

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Q: 1 -3 5 Let A = -3 -4 1 2 6 1 -1 -8 1 with augmented matrix [A]b] is always consistent. How many…

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Q: Given the following systems of linear equations *,+3x,- 5x,=2 3x , + 1 1x,- 9x3=4 -*,+x,+6x,=5 What…

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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: Reduce the matrix 3 -2 -15 A = 1 2 -2 11 2 -5 o reduced row-echelon form.

A: The given matrix is: A=3-22-1512-211332-5 Calculate the reduced matrix row-echelon form.

Q: If a matrix A is 9x3 and the product AB is 9x8, what is the size of B? The size of B isx0.

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Q: Determine the form of the augmented matrix that represents the following system of equations. -w+ 5x…

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Q: Write the linear system whose augmented matrix is [ 1 3 4 0 (a) 3 -1 2 3 -2 1 -4 3 1 3 4 | 0 3 -1 2…

A: Part (a) Given augment matrix is 2         1        3    4  ⋮  03      -1        2    0  ⋮   3-2…

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.