Use the inverse A-1 1 1 to identify the solution of the linear system 1 3 382 = %3D 2 3 2 1

Q: This is a linear algebra question Suppose A is a square matrix with Col(A) is a subset of Null(A).…

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Q: The matrix for an onto linear transformation from \R^4 to \R^3.  Find an example

A: Note that: The matrix of the linear transformation from Rn to Rm is of size m × n.

Q: for any matrix A, inverse of matrix A^(-1) a) |A| adj A b) adj A⁄ |A| c) 1/(adjA⁄|A| ) d) none of…

A: The formula to compute the inverse of any matrix A: A-1=1|A|(adj A)  such that A·A-1=I, where I =…

Q: -65 -140 30 65 a. If possible, complete the following equations; otherwise, enter DNE. °][³]= [2]…

A: Note that : Since you have posted a question with multiple subparts, we will provide the solution…

Q: Suppose A = {a1, . . . , am} and B = {b1, . . . , bn}. How many relations are there from A to B?…

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Q: can you show part b) closed under scalar multiplication with matrices?

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Q: Show that the transformation Y = 2x, + x, + Xg» Y2 = X; + Xg + 2x, ys = x, - 2r, is regular. Write…

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Q: Write the linear transformation: A reflection in the line through the origin which forms an angle x…

A: Step 1: Step 2: Step 3: Step 4:

Q: Suppose A=| use Diagonalization to compute A" 10

A: In the given question we have to find the 10th power of the matrix A s.t A=10-12. Concept: If a…

Q: Describe all matrices which satisfy det(-A) = -det(A).

A: Assume a square matrix A of order n

Q: Which of the following are true for A = {(1, 1), (1, 2), (1, 3), (1, 4), (2, 1), (2, 4), (3, 2),…

A: The given set .The given statement .The objective is to determine whether the statement is true or…

Q: Prove that the calculate inverse is correct by using the formula I = A(A^(−1))

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Q: why no matrix exists for one-to-one linear transformation from R^4 to R^3

A: Given: We have to prove no matrix exists for one-to-one linear transformation from R4 to R3.

Q: 4. Explain what is wrong with the following "proof" that (ABC)" – C"B" A" for three conformable…

A: Properties of transpose of a matrix: (AB)⊥ = B⊥A⊥ Given: (ABC)⊥.

Q: Write f= x + 10x1x2 + x3 as a difference of squares, and f= x? + 10x,x2 + 30x as a sum of squares.…

A: Given f=x12+10x1x2+x22.  Let the associated matrix of f be A=abba is 2×2 symmetric matrix. Then,…

Q: In Exercises 19-20, find TÂ(x), and express your answer in matrix form. 1 2 ^= 3x-[-] ; X= 4 19. (a)…

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Q: Thanks, I don't know why ak does not contain z^K

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Q: Which of the following is the inverse of f(x)=√√x²-4? f'(x)=√x²-4 ƒ-¹(x)=x-2 Option 1 Option 2…

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Q: What would the image of (1, 2, 3) be under the transformation modeled by 1000 0 1 0 0 0010 1 2 3 1 ?…

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Q: a) Compute the adjugate of the given matrix A and then compute the inverse of the matrix 1 0 2 A = 4…

A: We have to find the adjugate of the matrix A. We know that the adjugate is the synonym of the…

Q: Give one application of linear transformation then explain while including illustrations for support

A: linear transformation has many application but  image rotate and flip is one of application

Q: b) A civil engineering firm plans to sign a contract with a customer. The contract calls for the…

A: Let the cost of building X is x the cost of building Y is y. then as per given information the…

Q: O Translation: (1, 0) O Translation: (-1, 3) O Translation: (0, 1) O Translation: (3, -1)

A: Definition used -                 Translation of figure -                Horizontal…

Q: [2³] -16 Find k so that there exists a vector X whose image under the linear transformation T(x) =…

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Q: A straight line defined by its end points (6, 3) and (13, 6) is to be scaled by a factor of 2 and…

A: First of all we will determine the equation of the line by its end points (6,3) and (13,6). Slope of…

Q: 1. Let L: M2 - R be defined by ((: :)- = a -d+b-c. Is La linear transformation? Explain.

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Q: 1. i) Let p(x)=x²-3x+2 and Compute p(A). ii) Let 210 ^=[- A = -1 0 1 020 2 2 44 -1 -3 2 Compute AT A…

A: Given