Find the Answers for the following Questions: A = {2, 3, 4, 5, 7}, B = {4, 5, 9 16, 25} Find the relation R,such that For all a ∈ A  and b ∈ B,  a R b if and only if b = a2 Check the relation R is reflexive and symmetric or not. Write the matrix representation of the relation R Draw the Graphical representation of the relation R

Q: 2a₁b₁ Let A ab₂+ a₂b₁ ab3 + a3b₁ a₁b₂+ a₂b₁ 2a₂b2 a3b₂+ a₂b3 b3 +3₁ a2b3 + a3b₂. Expressing 2a3b3 A…

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Q: Use a determinant to decide whether the set is linearly independent. 2 V1 = -3 {V1, V2, V3} ----- =…

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Q: In 2-space, the absolute value of the determinant is equal to the area of the

A: The absolute value of the determinant is equal to area of _______

Q: 2a₂b₁ Let A = ab₂ + a₂b₁ a₁b3 + a3b₁ a₁b₂+ a₂b₁ 2a₂b₂ a3b₂+ a₂b3 a₁b3 +azb a₂b3+a3b₂. Expressing…

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Q: Evaluate each determinant in Exercises 1-10. 1. 5 7 2. 4 5 6 8 3 3. -4 1 4. 7 9. 6. -2 -5 5. -7 14 1…

A: Determinant is calculated only for square matrices. A square matrix is a matrix with same number of…

Q: 1.3.6 Show that the multiplicative property of determinants gives the real four- square identity (af…

A: To show: The multiplicative property of determinants gives the real four square identity: -…

Q: How many permutations of (1, 2, 3, 4) are even and what are they? Extra credit: What are all the…

A: Permutation: The even permutation are (1,2,3,4) The permutation , (1,2,3,4) (1,4,2,3) (2,3,1,4)…

Q: Use elementory row or colwmn operations. to find the determinant 173 イ22

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Q: Find the determinate of the system 6   5 8   -1

A: Given, The system  658-1  We have to find the determinate of the system

Q: a a. Evaluate: a a a b. Evaluate: 0 0 0 a a a al la a a a a a a c. Evaluate: 0 0 a a 0 0 0 a d.…

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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: Given the following relation, R = { ( 0, 1 ), ( 0, 2 ), ( 0, 3 ), ( 0, 4), ( 1, 0 ), ( 1, 3 ), ( 2,…

A: Consider the given relation R:

Q: 12101 4-1010 13131 01912 12101

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Q: a - c b d Which of the following is the result of the determinant b a -c d d a - c (a) (a + b – c)(a…

A: We use column and row operations on determinant

Q: Consider the system 3x1 + 2x2 – x3 = 1 -2x1 + ax2 + x3 = 2 Xi + x2 = 3 1. Find the values of a for…

A: 1)If it has a unique solution, then the determinant of the coefficient matrix doesn’t vanish.…

Q: Given a generic 2x2 matrix A, and a second 2x2 matrix C, show the following: d. Using property c…

A: In this question, concept of matrix operation is applied. Matrix  A matrix is a rectangular array…

Q: 1.19 Assume that h: R² R³ is determined by this action. (1) - (9). 2 Using the standard bases, find…

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Q: A relation R is given in the matrix below. Rows of the matrix are numbered 1 through 4 from top to…

A: Let iRj (i,j=1,2,3,4) be the elements of relation R . Let aij be the ( i-row , j column)  entries of…

Q: Use the given definition to find f(A): If f(x) = a, + a,x a,x + ... + ax" is a polynomial function,…

A: This is a problem related to matrix. We will find out square of the matrix and then calculate f(A)…

Q: Let A and B be square matrices of same order. Prov nomials of AB and BA are same. Do AB and BA have

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Q: Suppose that X represents the number of years a person goes to school, and Y represents the income…

A: In simple sentence, Correlation is nothing but a linear relationship between two variables. In…

Q: Let m and n be whole numbers. Matrix P is of order/size m x n. Matrix Q is of order/size n x m. The…

A: Here, m and n are whole numbers, order of matrix P is m×n order of matrix Q is n×m.

Q: Give the matrix representation for the relation depicted in each arrow diagram. Then express the…

A: To find: Matrix representation for above  relation depicted in each arrow diagram. Express the…

Q: Determine whether or not A = 25 is diagonalizable. Justify your answer. 1

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Q: = 1³ Let A = [3 -5 8 -6 Then AB = -4] -3 I 8 and B = -57 3 -8 3 7 -8

A: We have to find out the product of the matrices and also their determinant.

Q: ermine if the columns of the matrix to the right span R*. 8 -6 4 -2 -7 2 -4 -1 - 5 -5 10 - 3 8 -8 5…

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Q: A as the product of two determinants, show that A = 0. Hence, show that if ax² + 2hxy + by² + 2gx +…

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Q: If a₁, 92, 93, determinant: ... are in A.P., then find the value of the following ap+ap+m+ap+2m…

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Q: Find the determinate by expanding about the 1st row. 1 3-1 223 1-1 0

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Q: а A = a -3 3 3 -8 a find all values of a that make |A = 0. Give your answer as a comma-separated…

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Q: () The operation of subtraction A, BHA-B of matrices A, Bhaving the same size is defined by as…

A: Given: (i) S and T are relations on a finite set A, MS and MT are matrices of S and T respectively.…

Q: Determine whether ^- [¦ ¦ ¯1]- » - [8]), ~ - (-¹ ¹ ] b W b is in col(A). b is not in col(A).…

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Q: Use the properties of determinants, to determine which of the following equalities is true ¥4 2 -2…

A: To determine which of the following equalities are true By Using properties of determinants, 1 )…