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 two different 2x2 matrices A and B such that AB = BA. %3D --. .. (Use a comma to separate…

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Q: Determine if the matrix, M is diagonalizable. Show your complete solution. 25

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Q: -2 Find C2, where matrix C = [3/2 c. Lis 22! d. Lio 21 101 а. 15 l10 22] 3 b.;

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Q: 6. Consider the problem of determining whether the following system of equations is consistent: 14.…

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Q: |a b X y m nl

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Q: 7. (а) X1 3x2 = 1 2x1 - 6х, — 2 | %3D

A: The solution is given as

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Q: Assume that the matrix A is row equivalent to B. Without calculations, list rank A and dim Nul A.…

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Q: Find a matrix A to safisty the following equation: -1 (AT – 5 2 3 1

A: to find the inverse of 2*2 matrix, the formula is

Q: Suppose that collA) = IR+ 4x7 matrix A has 4 lead terms Then and NCA) = R³ %3D %3D

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Q: Suppose

A: See the attachment

Q: (b) Explain why in general, if u = [u uz] is a row of length 2, A = a1,1 a1,2 [@2,1 @2,2] we always…

A: Answer

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: For the MAtrix       1 -2   4 A= 2   0   6       3   7   3 what is the vlaue of |A|

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Q: Due to what property, applied to the matrices and scalars below, do we know that c(A + B) = cA + cB…

A: Given: We have to state which property for c(A + B) = cA + cB and (c + d)A = cA + dA

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A: Consider, a matrix A of order n, which is a invertible matrix.Since, the set of vectors

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A: Given: Matrix A is rectangular ( m by n) and matrix S is symmetric ( m by m).

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Q: The Hill Cypher works in this way: Bob wants to communicate a secrete message to Alice. chose a…

A: Dear Student, Since you have asked multiple questions, we will solve the first question for you. If…

Q: Find 6x6 matrix | a, that satisfies the stated condition. Make your answers as general as possible…

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Q: Suppose that 4x7 matrix collA) = IR* and A hos 4 lead terms. Then NIA) = R %3D %3D O True O False

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Q: B. Explain with sketch how can calculate the volume of parallelepiped by three vectors? C. If a =.…

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Q: 25. For a 4x3 matrix can the nullspace, the column space and row space all be a line through the…

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Q: TRUE/FALSE If x and y are nonzero vectors in Rn and A = xyT , then the row echelon form of A will…

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Q: What is the coordinate matrix that describes the following quadrilateral ABCD?

A: given figure

Q: Suppose a 6 x 8 matrix A has four pivot columns. What is the dim (Null A)? Is Col A = Rª ? Explain.

A: see below the answer

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A: To find whether the system Ax=b is consistent or not A=   2   1-2-1,    b=31

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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.