If the transitive closure R* of the zero-one matrix MR is Mg = MR V M v M v MI Find the zero-one matrix of the transitive closure of the relation R where [0 10 MR =|0010 0 10 0 1000 Show your calculations for each of the matrices in the expression

Q: Let A = {2, 4, 5}, and let R be the relation on A consisting of pairs of the form (a, b), where ab…

A: Pairs in R is: {(4,4),(4,5),(5,4),(5,5)} Only these have ab>12

Q: Confirm the following identity without evaluating the determinant directly a₁ b₁+ta₁ c₁ +rb₁+sa₁ a2…

A:

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: Let H be the function from the space of 3 × 1 matrices by itself defined by the formula: H a Show…

A:

Q: Make a change of variable, x = Py, that transforms the quadratic form 3x, + 14x, x, + 3x, into a…

A: To find the solution of the given problem we find the matrix representation of the quadratic form.…

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

A: A square matrix A of order 2x2 is said to be diagonalizable if there exist an invertiable matrix P…

Q: The given T is a linear transformation from R² into R². Show that T is invertible and find a formula…

A: Introduction: The linear transformation is invertible if and only if the corresponding matrix is…

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

A:

Q: Find |V(G₁) and E(G₁)|. Write the relation depicted by G₁ as a set of ordered pairs. Define the…

A: Here,       V(G1) = {a, b, c, d, e, f, g} So,  | V(G1) | = 7      E(G1) = {a-c, e-c, b-d, d-f, d-g,…

Q: Draw the arrow diagram for each composition of relations S and T represented by matrices: S: 101 T:…

A: From the matrix representation of matrix we get             123S=123 101011110Relation S ={ (1, 1),…

Q: The following Matrix represents the supercoach points scored per round of three AFL players from…

A: The matrix is obtained from the table by arranging the values in the rows and columns. The new…