(1) (a) Find all solutions of Ax = 0, where -(7) -3 5 A = -6 7 1 and write them in parametric vector form. Describe this set of solutions as a line in R³. (i). (b) Find all solutions of Ax = b, where A is as above and b Write them in parametric vector form, and describe this set of solutions as a line in R³

Q: Solve the problem. Describe all solutions of Ax = b, where 2-5 3 -2 6-5 and b = 4 7 0, -[C].…

A: Given: A=2-53-26-5-470 and b=-38-9. To Do: Describe the general solution in parametric vector form.

Q: Solve. (Enter your answers as a comma-separated list. If there are infinitely many solutions, enter…

A:

Q: M] - [8] x+y -3x+y.

A:

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A: (.)  Given system of linear equation is,               3x1+3x2+6x3=12-9x1-9x2-18x3=-36…

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Q: Describe all solutions of Ax = b, where [2-5 3] A= -2 6-5 and b = -4 7 0 2 19 Describe the general…

A:

Q: Solve the problem. Describe all solutions of Ax = b, where 2-5 31 A= = [] = [] -2 6-5 and b 4 7 0,…

A: Given: A=2-53-26-5-470 and b=-38-9. To Do: Describe the general solution in parametric vector form.

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Q: Describe all solutions of Ax = 0 in a vector form, where -4 -2 0 3 2 0 0 0 1 1 A = -1 -4

A: Here given matrix is

Q: Determine whether v = -2i + 3j, w = -6i - 9j are parallel, orthogonal, or neither.

A: Determine whether v=-2i+3j,  w=-6i-9j are parallel, orthogonal, or neither. Solution:- if two…

Q: Find a complex vector d so that if F{(fo, ƒ1, ƒ2 ƒ3)} = ċ then F{(−fo, − ƒ₁, 0, 0)} = č ® ā.

A: According to the given data, find the vector d:

Q: In R3, derive the equation of a line in vectorial, parametric and canonical form.

A: Parametric equations of a line in R3 :Parametric equations of the line can be written as…

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.