In each case below, give the 3 x 3 elementary matrix E with the property that left multiplication by E produces the given row operation on an arbitrary 3 xn matrix A. a) Rows 2 and 3 are interchanged. b) Three times row 3 is added to row 1. c) Row 2 is multiplied by 1/5. d) Four times row 2 is subtracted from row 3.

Q: A card is drawn at random from a deck of 52 cards. Find the probability that the card drawn is : a)…

A: Total number of card in a deck=52. Number of red card=26 (13 heart, 13 diamonds) a) The probability…

Q: The unit vector of the PQ (of point P(-3, 4, 1) and terminal point Q(-5, 2, 2)). - The angle between…

A: here we have

Q: The table below gives conditional probabilities for grades received in two school subjects. 40% of…

A: It is been asked to find the probability that student was in Calc given that she got a B.

Q: (iv) 343° -2 34 (v) a-?+ a

A: (iv) Given, 3-2+303-1

Q: Find V (YX = ).

A:

Q: Consider the linear system shown below. xi + 3x2 + x3 = 4 -x1 + 2x3 = 2 3x1 + x2 = 2 a. Rewrite this…

A:

Q: 1. The point P = (x, y, z, u, v, w) = (1, 1, 0, −1, 0, 1) satisfies all the equation y²z+u - v w³…

A:

Q: (b) Show that i0 is real, even though i or 6i is not.

A:

Q: Find the orthogonal complement to the row space of A and its dimen- sion.

A: Given , A = 125213037 Then , the now-space is span of                   (1,2,5)  ,  (2,1,3)  and…

Q: Question 29 Complete the table and use it to predict the limit, if it exists. 5x+ 8 f(x)= 1 –x² 2…

A: The given function is; f(x) = (5x+8)/(1/2 - x2)

Q: (b) Briefly give an example each of studies where you can apply (i) stratified sampling and (ii)…

A: 1. (b)  Stratified Sampling : It is a probability sampling method in which a large population is…

Q: Realize the Gauss (Divergence) Theorem by considering the volumes (V) given for the vectors below…

A:

Q: Consider the following linear system shown below. Note that s is a parameter and r1 and =, are the…

A:

Q: 10. A random sample of n = 25 is selected from a normally distributed population with u = 600 and O…

A: As per our guidelines, we are allowed to answer first three sub-parts only. Thanks   Sample size, n…

Q: Part (a)

A: Given,            f(z)=ezz

Q: Solve for x. 2.4x-9.1x +12.5x= -39.44

A:

Q: 4y+ナ メ-1 メ「メ

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: 73.2, 57.6, 93.8, 51.0, (), 39.4 A) 41.5 B) 15.8 C) 76.3 D 65.2

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (c) Calculate the divergence (V.Ä = div Ã) and curl (V × Ā = rot Á). of the following vector fields.…

A:

Q: 4. Prove or Disprove: For anynxn matrix A, A A = AA.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Use simplex method to solve the following Linear Programming (LP) problem. Maximize Z=4X₁ +8X₂ +6X3…

A: Maximize Subject toWe have to solve the LPP using simplex method.

Q: Suppose you solved a second-order equation by rewriting it as a system and found two scalar…

A:

Q: 1 The linear approximation of tan-6° is? approximation of 3√9 is? 2 The linear

A:

Q: 24. Suppose that a population can be accurately modeled by the logistic equation dp di =0.4p (1-).…

A: dpdt = 0.4p1-p300≤t<50.4p1-p30-0.25pt>5   To find p(t) when a) P(0)  = 20 and b) P(0) = 30

Q: (a) If S is the subspace of R³ containing only the zero vector, what is St? (b) If S is spanned by…

A:

Q: (iv) Calculate x, for the time corresponding to t = 0,5. (v) Comment on the accuracy (or lack…

A:

Q: 1. Write an equation to represent each of the following graphs using the indicated base: a) base 2…

A:

Q: 2. Consider the initial value problem. dy -(r – 2)(y – 1)? , y(0) = dx (a) Find any equilibrium…

A:

Q: Which scheme gives the smaller root to approximately 16 digits with the smaller number of…

A:

Q: Solve the system and give the coordinates of the solution. * + by = -4x +y =- %3D %3D If no solution…

A: Solve for x and y

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.