Bonnie had previously calculated the cross product of two vectors in R , but unfortunately sprayed part of their work with tea. Their calculation now looks like: -26 |x-6 = X1 X2 15 8 a) Bonnie realises they can rewrite the expression above as a matrix equation -26) A x2= 15 for some appropriate matrix 8 x3 A. Find A. A = b) Find a possible value for x1 x) given Bonnie remembers that its length is X3 V21. X2 %3D X3 c) Explain geometrically why there are two different possible answers to the previous part.

Q: Find the matrix that has the effect of reflecting vectors in R2 across the x-axis, then rotating by…

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Q: 6. What 3 x 3 matrix exchanges rows 1 and 2, but leaves row three alone?

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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: Use the definition of A to write the vector equation as an augmented matrix. 0 x₁ + x2 + x3 + X4 =

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Q: In this case, h = k = x = a. State the elementary row operation that transforms the first matrix…

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Q: Find the row reduced echelon  matrix R and invertible matrix P such : R = PA             -1     1…

A: The given matrix is: A=-11-10-34114-6-4-2310-14. To find row reduced echelon form of given matrix,…

Q: For Square Matrix A, B of the same size is it true (A + B)-1 = A-1 + B-l? Explain

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Q: Give a 3 x 3 elementary matrix E which will carry out the row operation (-9) R₂ R₂. E= Test that E…

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Q: Find matrix A, given that: :) 8. -2 2A-1 10 9.

A: NOTE: Refresh your page if you can't see any equations. . divide both sides by 2 take inverse on…

Q: a) Find the inverse of the matrix A=(2 5 b) Use part (a) to solve 2x, + 5x, 1 +4x,=3 %3D

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Q: Given the matrices A and B, solve for X. 18) 3X - B= A. 5 -2 3 and B= -1 -1 A = -4

A: 3X-B=A

Q: 3 5 -6 5 1

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Q: 4 x x -4 3.) Solve for x: %3D 2 7 6. X -2

A: Explanation of the answer is as follows

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.