For Problems 21-26, write in terms of simpler forms, as in Example 4.

Q: Prove that the product of two n X n stochastic matrices is also a stochastic matrix

A: There are three cases for a matrix to be a stochastic matrix, the matrix A might be row stochastic o...

Q: 2x2-5xy-y3 x=-3 y=-2

A: Given

Q: Algebra Question

A:

Q: How to convert 2/10 into a decimal?

A: Given value =  

Q: (7+7+7+7+7+7+7)2x=1/343

A:

Q: Show that Z has infinitely many subgroups isomorphic to Z.

A: We have to show that Z has an infinitely many subgroups isomorphic to Z.

Q: In Z, let A = <2> and B = <8>. Show that the group A/B is isomorphic to the group Z4 but...

A:

Q: Determine whether the matrix is symmetric, orthogonal, both, or neither.

A: Now transpose of this matrix is, Therefore A is a symmetric matrix.

Q: Determine whether the following sets form subspaces of R3: {(x1, x2, x3)T | x3 = x1 + x2}

A:

Q: Prove that two vectors are linearly dependent if and only if one is a scalar multiple of the other.

A:

Q: Find the area of the triangle with the given vertices.(1, 1), (2, 4), (4, 2)

A: Given the vertices of the triangle (1, 1), (2, 4) and (4, 2). We have to find the area.

Q: make a sketch of the given function on the interval[0,∞). Q. f(t)=1+(t −1)u1(t).

A: Consider the given function: Here the objective is to draw the graph of a function in interval [0,∞...

Q: Find the angle θ between the two vectors.u = (0, 4, 0, −1), v = (1, 1, 3, −3)

A:

Q: For Exercise, for the graph of y = f(x), a. Identify the x-intercepts. b. Identify any vertical asym...

A: GIven y = f(x):  

Q: what are the integers for 6<x<7 with a line under each less than sign

A: To determine: The integers for 6 < x < 7 with a line under each less than sign. It means, 6 ≤ ...

Q: 3|x+y|2-(xy)2 x=3 y=-5

A:

Q: Prove that B is row equivalent to A if and only if there exists a nonsingular matrix M such that B =...

A:

Q: Multiply and simplify the following: (y-1)(y2-y+1) (x-3)(x2-3x+5) (x+4)(x2+5x-25) (2x-1)(x2-3x+25) ...

A: Multiply and simplify the following: (y-1)(y2-y+1) (x-3)(x2-3x+5) (x+4)(x2+5x-25) (2x-1)(x2-3x+25) ...

Q: Evaluate the expression.

A:

Q: Prove that in a group, (a-1)-1 = a for all a.

A: By definition (a-1)-1=a are both elements of a-1. Since in a group each element has a unique inverse...

Q: Write out the first six terms of the sequence defined by the recurrence relation with the given init...

A:

Q: Two friends plan to meet at a restraurent for lunch.They both leave their home at 11:30 AM and betwe...

A: Two friends plan to meet at a restaurant for lunch. They both leave their home at 11:30 AM and betwe...

Q: Determine whether the given orthogo­nal set of vectors is orthonormal. If it is not, normalize the v...

A: Given set of vectors is  

Q: According to the American Time Use Survey in 2005, 17.5% of Americans aged 15 and older participated...

A:  

Q: A rectangular plot requires 2000ft of fencing to enclose it. If one of its dimension is x (in feet),...

A:

Q: Let F be a field of order 32. Show that the only subfields of F areF itself and {0, 1}.

A:

Q: Use the determinant of the coefficient matrix to determine whether the system of linear equations ha...

A: 0.2x − 0.1y = 0.070.4x − 0.5y = −0.01

Q: A bowl has a shape that can be generated byrevolving the graph of y = x2/2 between y = 0 and y = 5 a...

A: The Volume of the bowl is given by

Q: Solve this early I upvote

A:

Q: In the frieze group F7, show that zxz = x-1.

A:

Q: Find a least squares solution of Ax = b by constructing and solving the normal equations.

A:

Q: 6​[2−6​(−8x−5​)]=288x+192

A:

Q: Use the matrix P to show that the matrices A and A′ are similar.

A:

Q: Let P2 be the set of all polynomials of the form p(x) = a0 + a1x + a2x2, where a0, a1, and a2 are re...

A: A set V is vector space if it follows all the following axioms:  

Q: For Exercise, solve the equations and inequalities. Write the solution sets to the inequalities in i...

A:

Q: Suppose f(x)=−x2+x+10f(x)=-x2+x+10. Compute the following:A.) f(−1)+f(4)=f(-1)+f(4)= B.) f(−1)−f(4)=...

A: Given data:     The given function is: f(x)=-x2+x+10.   STEP-1 Substitute -1 for x in the given func...

Q: An electric bill is an essential expense for young people who get their first apartment. The followi...

A: To find the mean, add all the bills together and then divide it by the number of bills. Thus, the su...

Q: f(x) =2x²-3x-Sand g(x)%3D3X²-4x+ find: @ (fig)(x) (f-g)(x)

A:

Q: If the three vertices of a triangle have coordinates(0,0), (0,3), and (5,0)how many square units are...

A: Given data:   The given first coordinate of the triangle is: A=(x1,y1)=(0,0). The given second coord...

Q: Let S = {v1, v2, . . . , vn} be a set of linearly dependent vectors in V, and let T be a linear tran...

A: Let, be the set of linearly dependent vectors in V. Let T be a linear transformation from V into V.

Q: Determine whether the function is a linear transformation.

A: Given: To Show: The function is a Linear Transformation. Concept:

Q: decide if the given statement is true or false,and give a brief justification for your answer.If true...

A:

Q: Consider the vector v = (−1, 3, 0, 4). Find u such that (a) u has the same direction as v and one-ha...

A:

Q: (Second Isomorphism Theorem) If K is a subgroup of G and N isa normal subgroup of G, prove that K/(K...

A:

Q: With v = (1, 1) and w = (1, 5) choose a number c so that w - cv is perpendicular  to v. Then find th...

A:

Q: Determine whether the set of vectors in P2 is linearly independent or linearly dependent.S = {−x + x...

A:  

Q: The U.S. census lists the population of the United States as 249 million in 1990, 282 million in 200...

A: We are given three points so we make an equation of second-degree polynomial;

Q: An electric transformer is designed to handle 4.3 megavolts, and can handle a 20% overage Starting w...

A: An electric transformer is designed to handle 4.3 mega volts, and can handle a 20% overage Starting ...

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.