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…

A:

Q: (a) An n x n matrix B is a square root of a matrix A if B² = A. Show that the 2 x 2 identity matrix…

A: Given B is a square root of a matrix A

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

A:

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: a) Find the inverse of the square matrix B: [2-4 B = 3 -1 7 0

A: The inverse of the matrix is given below :

Q: 2 if A=| -3 -2 4 and B= 1 ,find the Matrix X such that 3A+4X=5B 1 3

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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: a) Prove the following identity. (Do not use Examples.) (A+B+C)° = A" +B" +C" b) Is the product of…

A: Consider the given information. (a) Consider the left side of the equation. A+B+CT Simplify, the…

Q: B= 4 7 8. A= 2. Find 1-Matrix C. 3B 2- Matrix D - AB inNN

A: Given A=352252 and B=204768C=3B=3*204768               C=[6012211824]

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: he matrix is Α = et result hitting · 230 1 -1 3 401 -1 Α Α ΑΑ

A: Topic:- matrix algebra

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

A:

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: For R1: y=2x2-3x-5, R2: y=x2-x-2,

A: answer is in next step

Q: 3 5 -6 5 1

A:

Q: What row operation should we use to turn the -3/7 into a 0? Write the new matrix that results:…

A: I have solved step by step in detail...go through the solution

Q: 1. Find A¹ using elementary row operation to the augmented matrix Let A = -2 2 10 0 0 4 2 -6 -12

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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

Q: While practicing computations in MATLAB, you find a 3 x 3 matrix A and vectors v, w with Av = v, Aw…

A: We are given v⇀,w⇀and a Matrix A such that Av⇀=v⇀, Aw⇀=w⇀ and v⇀×w→≠0. Since the cross product of…

Q: e first a 2 th

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Q: (d) Find the quadratic form corresponding to the matrix: 0 (19) 4 2 0 2 3 What is the definiteness…

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Q: Matrix A = The transpose of A would result in |A| being: a. unchanged b. negative c. zero d. squared

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Q: 1 is equal to -1 The matrix product 4 -2 2 a) 2 -2 2 -2 b) -2 -2 c) -2 2 -2 d) -2 2

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.