1 0 -2 A = 4 -2 4 -2 - 2 1 3

Q: Write the system of equations as an n 250 150 100 2n 89 = = +y = augmented matrix

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Q: Express the following system of linear equations as a vector equation: -4x1+3x2+6x3 = -7 -3x+3x₂-4x3…

A:

Q: Find a base for the line space of the matrix and determine the line rank.

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Q: Let A be a 4×5 matrix with 4 pivots. Do the columns of A span R4? Do they span R5? Justify your…

A: As A is a 4 x 5 matrix with 4 pivots so, it has a pivot in its every row. So, yes the columns of A…

Q: Find the matrix A (in terms of B and C ) if (ЗАТ + 4СТВ)Т3 5A - 4B

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Q: solve by finding an inverse matrix 2x+y=6 x+2y+z=12 x-y-z=-5

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Q: Describe the column space of a reduced row echelon matrix R.

A: Leading 1: When the leftmost entry in a row is 1 and all the entries above and below of the leading…

Q: Write x = -t³x2, x, = 4t³x2 in matrix notation. Solve and write the solution in matrix notation.

A: We are given a system of nonlinear first order differential equations : x1' = -t3x2  and  x2' =…

Q: Write the augmented matrix of the system 36x 2x 77x +6y +64y +33z -Z = || || || = 6 -5 = -1

A:

Q: Why does no 3 by 3 matrix have a nullspace that equals its column space?

A: To show why does no 3×3 matrix have a null space that equals its column space. We know the…

Q: find the matrix of x12+4x1x2+6x2x3+2x32?

A:

Q: Let A and B be row equivalent matrices. (a) Show that the dimension of the column space of A equals…

A: Here, A and B are two row equivalent matrices. a) The dimension of the column space of A equals the…

Q: Let If A is 2x2 matrix and /(4)=0, then %3D

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Q: Q2:- A/ Solve the linear equation by inverse of matrix X+2X,+2X=1 X+3X+X 4 X,+3X,+2X,-3

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Q: Express the following system of linear equations as a vector equation: +7x2-10x3+2x4 = 4…

A: The given linear equation system is

Q: A'ina and Aliya go to the bookstore to buy books and pens. A'ina bought 5 Mathematic exercise books…

A: We have to form two equations based on the given information then we can form these equations into…

Q: Explain why the number of columns in matrix A mustequal the number of rows in matrix B when finding…

A: Consider the provided information, The number of columns in matrix A must equal the number of rows…

Q: Let A and B be two matrices innRREF , if they are row equivalent then A=B.

A:

Q: Answer is supposed to be in the form of a 4x4 matrix

A: Ans- Given the input-output table involving four sectors of U.S economy in the year of 1977. To…

Q: Why did you write the number of columns of A as 3 when the matrix has only 2 columns

A: Let given matrix is Using RANK-NULLITY theorem, we haveRANK(A)+NULLITY (A)=number of columns in…

Q: -6x + 39y9z = -12 2x - 13y + 3z = 4

A: We have to determine the rank of the matrix.

Q: Express the following system of linear equations as a vector equation: -2x7+5x3 = -6 = -2…

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Q: 4 03 -2 3 0 10 5 a. 1 7 b. -3 7 0 c.-3 9 0 051 7 0

A: (a) The given matrix is 105017 Let S be the set of columns vector then we have  S=(1,0), (0,1),…

Q: a) Write the augmented matrix for the row chelon form of the matrix. x + 2y3z = 9 2xy +z = 0 . b)…

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Q: 1 -2 3 -2 1 2 -4 -2 4. 4,

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Q: Write the system of equations as an augmented matrix + S 5d + 2r 136 4d + 6r 7d 6r - 7s - 6s - - -…

A:

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.