1. Given A = {1, 2, 3, 4}, B = {a, ß,7} and R= {(2,B), (2, 7), (4, B), (1, a), (1, 7)} (a) Determine the matrix of the relation. (b) Draw the arrow diagram of R. (c) Find the inverse relation R-1 of R. (d) Determine the domain and range of R.

Q: Write the matrix corresponding to the following linear transformations. 2x1 – x2 – x3 Yı Y2 = 3x3 Y3…

A: Given that : y1 = 2x1-x2-x3y2 =3x3y3 =x1+x2

Q: Is it possible to find a symmetric matrix A which represents the following function. Why or why not.…

A: It is not possible to find a symmetric matrix A.

Q: For Exercise, use a graphing utility to find the inverse of the given matrix. Round the elements in…

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Q: Q.1. Use Cramer's rule to find x, in the linear system. 2x, +x, +x3 = 4, -x, +2x, = 2, 3x, +x, +3x,…

A: Solve it by using Cramer's rule.

Q: Express the linear function as F(x) = CX for some matrix C. f(x1,x2,x3,x4) = (5x3 - x1, 2x3 + x4,…

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Q: Determine the matrix representation and digraph for each of the following relations on { A, B, C, D…

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Q: If the set {(1,2, 1), (0,1, 1), (1, -3, A)} is linearly independent, then (A) A = -4 %3D (B) A + 4…

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Q: ( ). For matrix A = if f(X) = (X+ 2)(X – 2), calculate f(A)? -16 33 17 (17 48' В. 16 33. A. -48 -48)…

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Q: Suppose that the matrix X is partitioned as [ G T] [: а b Then X"X = where d

A: Suppose that the matrix X is partitioned as [ G  T ].

Q: 2 -1 0 2 4 4 3 1 A -1 8 -12 A -2 2 -2 6 4 1 1 ||

A:

Q: 2: The function f(x) = x² + 2x² + 3x² + 4x₁x₂ + 5x₂x3 + 6x₁x3 can be written in the form f(X) = XTQX…

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Q: d. c+d 1. T a + b b.

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Q: Let matrix A represent the sales (in thousands of dollars) for a certain company in 2018 in various…

A: We will find out the required values.

Q: For the matrix shown, find the * (determinate of (A 1 A= 3 -1 3 1 321 2.

A:

Q: 1 2 3 1[1 1 07 M = 20 0 1 3|1 0 0

A: Write the relation M as a set of ordered pairs. If x,y is an ordered pair in M , then (y,x) is and…

Q: List the ordered pairs in the relations on {a, b, c, d} corresponding to the matrices (the rows and…

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Q: Let e ,e2, ez denote, respectively, the following elementary row operations: "Interchange R, and…

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Q: 2: The function f(x) = x² + 2x² + 3x² + 4x₁x₂ + 5x₂x3 + 6x₁x3 can be written in the form f(x) XTQX…

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Q: Consider the following function; Q(x1, x2, X3) = 2x? + 3x? – xž + 5x1x3 + x2x3 Find the matrix A…

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Q: for the following matrix A and let 5 be th- 1 1 2 -4 A = 0 -1 8 1 3 1.

A:

Q: Find the rank of the following matrix 1 1 47 4 2 3 1 7 5 2 7 L1 0 41.

A: the given matrix is A=1114423175271041 operate R2→R2-4R1 A=11140-2-1-1575271041 operate R3→R3-7R1…

Q: 4. Decide whether or not the matrices are inverses of each other 1 1 2 4 -2 4 and 1 1 4 -4 2 4 A)…

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Q: [1 A 2 1 0 and b : 3 2 3 Jse Gauss-Jordan elimination to compute the inverse of the matrix

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Q: For each 2 x 2 real matrix A find the canonical form B and an invertible matrix P such that P-1AP =…

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Q: . Given the relation R1 from X = {1,2,3,4} to Y = {a,b,c} and R2 from Y = {a,b,c} and Z = {6,7,8}…

A: Here given  Relation R1 from X=1, 2, 3, 4 to Y=a, b, c is defined as R1=1, a, 2, a, 2, b, 3, c, 4,…

Q: Given the following information use the Chain Rule to determine z= x"y - 2x°y _ and y= sin(x*) a -…

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Q: 3 (a)Find the matrix X such that AX = B if A = 7 8 9 and B = 3 3 2 6 l8 10 9] (b) Is the following…

A: Consider the system AX=B⇒X=A-1BGiven: A=9637898109det A=9(72-90)-6(63-72)+3(70-64)…

Q: Determine the values of x of a given linear system shown below using cramer's rule. X1 - X2 - X3 +…

A: We will find out the required solution.

Q: -2 1 To show that the matrix A = -1 1 satisfies its char- 1 -3 2

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Q: 2. Find the rank of the matrix 1 3 4 5 8 9. 10 11 12 13 14 15 16

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Q: |2 0 if A=| -3 -2 4 and B= 1 find the Matrix X such that 3A+4X=5B 1 3

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Q: Is it possible to find a symmetric matrix A which represents the following function. Why or why not.…

A: To determine :   Is it possible to find a symmetric matrix A which represents the following…

Q: Which of the following is the matrix C that satisfies the equality (CT +312) -1 3 (a) 2 -5 (:) 5 -2…

A: First take inverse on both sides of matrix equation CT+3I2-1=2714. CT+3I2-1=2714CT+3I2-1-1=2714-1…

Q: -2 5 -2 1 4 1 4 -7) Find the Inverse of the above message matrix which will represent the decoding…

A: Inverse of the matrix is   2394 -347 1394 547 1347 1147 994 747 194

Q: 1) Suppose that T is a linear operator with standard matrix 8 3 6 0 2 0 0 7 Is T one-to-one?…

A: Given the linear operator T:ℝ3→ℝ3 836025007 Now, we find determent of T.…

Q: Given the linear transformation T:R³>R³ with the matrix: B = 3 [4 -3 10] 7 -2 l2 -1

A:

Q: * 2: The function f(x) = x² + 2x² + 3x² + 4x₁x₂ + 5x₂x3 + 6x1x3 can be written in the form f(X) =…

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Q: Q2: If you have the following matrix 0.29 0.45 0.33 M= -0.29 0.46 0.41 -0.47 0.42

A: Solution

Q: If T,(x, y) = (2x+ y, x, x- y) and T, (x, y,z) = (x- y+z, x + y). Find the standard matrices and…

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Q: Evaluate the following fourth-order determinate: 2 10 3 -2 3 4 D = 0 5 2 3 -2 1 2 0 -1

A: D= 2 1 0 3 -2 3 4 -1 0 5 2 3 -2 1 2 0   Eliminate elements in the 1st column under the…

Q: The following are relations on the set {1, 3, 5} R = {(a, b)| a = b – 2}, S= {(a,b)| a + b < 6} a)…

A: Given that a set 1,3,5 and relations are R=a,b|a=b−2 and S=a,b|a+b≤6. Here, R=1,3,3,5 and…

Q: Suppose B and D are the following two bases for P2: B=|4x²-4x-2, ²-4x−2, 3x²-x, −3x−3] D= [-3x−3,…

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Q: 4. Use the Gauss-Jordan method to compute the inverse of the matrix A below without introducing…

A: Hey there I am not familiar with any other method other than this for Gauss Jordan elimination…

Q: 3. Use row reductions to evaluate the det(A) of the matrix: –3 A = 2 5 1

A: Using Row Reduction we have to evaluate det (A)=?A=-307251-105

Q: nd the inverse of the matrix 1 0 -2 1 4 -3 4 oices: 8. -3 1 8 3 1 а. 10 4 1 C. 10 4 1 -7/2 3/2 1/2…

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Q: Complete each of the following sentences by matching each of the letter options (e.g. (A), (B), ...)…

A: The given questions are related with linear algebra. We have to complete each of the following…

Q: Determine whether the relations represented by the zero-one matrix are equivalent and explain your…

A: Matrix representation of an equivalence relation is symmetric.