Matrices & Determinants Questions and Answers

st K Consider a Deter b Find C Ident a The f

GIGGI K HIGIE Consider the function a Determine witho b c Find the minimu Identify the func

Where should the linear inequality y 1 4 x 3 be shaded

what is the method for this equation y 1 2 x 5 y 5x 16

b 4 pts an extensive form representation of the following game Af

The vector x is in a subspace H with a basis b1 b2 Find the B coordinate vector of bi 3 x 13 b2 N O 3 H

Unit 4 Part 1 Major Assessment Radi 4 of 14 Simplify 2 3 3 4 5 3 12 2 3 6 5 2 2 8 4 2 4

Correct ther the given system of linear equations h 6x 2y 4 5 4x 4 3 y 7 15

five million ninety five thousand forty five

a Classify all 2x2 matrices A a C b d with integer entries such that both vectors u 1 4 V are eigenvectors of A b Write an infinite sequence of concrete distinct non diagonal matrices A A2 An such that the vectors u and v are simultaneous eigenvectors for all An and write the corresponding eigenvalues for each An

Consider the following initial value problem a Find the solution y t NOTE Denote the Heaviside function by uc t where uc t otherwise Indicate separately the exact value of c y t y 4y 8y 8 t y 0 1 y 0 0 where c 1 if tc and 0

Calculate det A det B det AB det A 00 det 499 Show your work A 01 20 1 7 0 4 0 B 12 0 2 3 1 024

List the possible rational zeros of the function using the Rational Roots Theorem f x x 7x 9 O 1 9 1 3 7 9 1 7 9 1 3 9

Simplify the expression 2x 5x4 Evaluate using properties of exponents 2 4

Use Simpson s Rule with n 10 to approximate the area of the surface obtained by rotating the curve about the x a Round your answers to six decimal places y 2xe 0 xsl Simpson s Rule calculator approximation

For the matrix A 1 3 1 2 5 3 1 2 5 a 7 marks Use row reduction or the adjoint method to calculate A b 3marks Use the information from part a to solve the system 0 2 A X 2

O Points 0 of 5 A restaurant has a main location and a traveling food truck The first matrix A shows the number of managers and associates employed The second matrx B shows the average annual cost of salary and benefits in thousands of dollars Complete parts a through c below Restaurant Food Truck AB Managers Associates 24 a Find the matrix product A 720 128 234 44 Tampety your answer Managers Associates Salary Benefits 42 23 B Save

Determine whether the following system is consistent or inconsistent If it is consistent determine x 2x3 x 2 4x3 x 10 2 2x12x2 x1 x x3

For the following system to be consistent 4 27 9x 5y 2z 6 4x 3y 5z 32x 23y kz we must have k

4 points A graph with vertices a b c d e has adjacency matrix 1 What is the order of the graph order 2 How many edges does the graph have answer 3 What is the degree of vertex b degree 4 What is the degree of vertex d A 0 0 0 1 0 0 0 0 0 0 000 1 0 01 02 0 0 0 2 0

Find a basis of the subspace of R 4 defined by the equation 4x 1 7x 2 4x 3 3x 4 0

Identify the matrix A as a square matrix column matrix row matrix or neither and determine the negative additive inverse of A 30 8 A 54 0 36 1 Choose the correct answer below and fill in the answer box to complete your choice OA Aisa B A is a row matrix C A is a 3 x 3 square matrix D A is a columnn matrix matrix It is not a square column or row matrix Determine the negative additive inverse of A A Simplify your answer

Write the system of equations as a matrix equation AX B with A as the coefficient matrix of the system X 8x 37 3x 4x 1 X HE

For the following system of homogenous 3x y 6z y 15z 0 linear equations Use elementary row operations to solve the above system Identify the free variable s if any

Question 2 For the function given below determine the domain all vertical and slant asymptotes Use all of this information points as needed to sketch the graph of the function on f x x 1 2 1 24 4 3 2 0 4 1 2 3 4 3

Consider the following matrices Find a matrix B such that and a matrix C such that 1 0 2 44 1 3 4 2 1 5 A 1 D 0 1 1 4 AB D CA D 4

akeed this question it was wrong i should be able to get a new question Apply the Simplex Method to the following matrix 4 1 0 0 561 9 1 0 1 0 7 3 0 0 1 0 2 2 0 1 9 4 9 2 1 0 011 2 4 172644 1 5 0 56 3 5 2 5 224 01 Show Transcribed Text

find sin x y cos x y and tan x y if sinx 1 3 cosy 2 5 x is in QIII and y is in QII

Solve the system 8 8 8 3 t 521 6x2 323 2 33 522 623 322 923 21 421 321 224 2x4 3 1 424 4 6x4 3

Determine all values of k for which the following matrices are linearly dependent in M 2x2 5 2k 0 0 R 24 and 28 1 A 3 B 2 C 1 D O OE 1 The sum of these k values would be 1 2 k 2 43 1 0 0 7

Consider the function f x x5 ln x a Find the domain of f Answer b Find the critical points Answer x c Find the domains of increase and decrease Increasing Decreasing d Find the inflection point Answer x

Describe all least squares solutions of the equation Ax b A 110 110 101 101 b 5 1 G X3 The least squares solutions are all vectors of the form x x3 with x3 free Simplify your answers

2 For 2 2 matrices A and B the following is true I is 2 2 identity matrix AB A 21 BA A B I Determine whether the following statements are true or false a AB BA b 2A B I I

Fill in the blanks Enter intercepts as ordered pairs aka points Then Graph the parabola given in vertex Vertex Form y x 3 1 1 Does the parabola open up or down O UpO Down 2 Vertex z y 3 Equation of the Axis of Symmetry 10 9 8 7 6 5 324 10 9 8 7 6 5 4 3 2 1 123 4557 5 6 7 8 c J 4 5 6 7 8 9 10

8 7 6 5 4 3 7 a Vertex of the parabola b Axis of Symmetry 4 2 m 6 7 a Consider the graph of a quadratic function shown above Identify the following Enter coordinates as an ordered pair Separate multiple answers with a comma If no real number solutic exists enter DNE 14 c Is the vertex a minimum or a maximum value of the function O Minimum

1 Set up an integral that represents the arclength of the curve y ln 1 x 0 x 5 then us

Exercise 4 2 11 In each case write u u u where u is parallel to v and u is orthogonal to v 2 3 HH 1 3 a u b u c C u 2 4 3 3 0 HA d u 2 V 4 1

Consider the matrix 2 4 24 00 0 1 6 a Reduce B to the identity matrix using elementary row operations 4 points b Write B as a product of elementary matrices Note This does not require you to actually compute B 13 points c Write B as the product of elementary matrices 3 points Note in parts b and c you must write down the corresponding elementary matrices explicitly to rece full marks

5 In each of the following cases find det A det A7 det 34 det A det ATA det A 1 and det AA a A 4 1 2 1 b A 0 5

A student is reading a fictional book at about 300 words per minute Convert this rate to words per second 18 300 words min Which of the below choices shows what should go in the square brackets to make the conversion to words per second 300 words 1min min 60 sec 300 words 60 sec 1min 300 words 60 min min 1 hour

Consider the graphs of the functions f x and g x T E 2 7 2 f x g x What is the value of f g 2 02 0 9 O 10

8 mutiplay sub 4 3 4 24 8 a34 Aaal 2 2 3 a 4 6 a3 12 B 44 243 48197 2 3

EXAMPLE 12 For what value s of h will y be in the subspace of R spanned by V1 V2 V3 if V 4 V3 and y 1 h 34

DE F G Carry out the multiplication on the left and right side DE First suppose that A is invertible and let A 1 B0 Then AA 1 B0 D C F G

Find the values of x and y that make the equation true 2x 8 6 2y 1 x 3 y 4 x 3 y 4 x 4 y 3 x 4 y 3

Find the discriminant and describe the roots of each equation Choose from the following terms real imaginary rational irrational equal and unequal 5 x 3X 10 6 x 12x 36 0 7 4x 8X 20 C v2 J

Regular investments made at the beginning of each quarter earn 5 4 compounded quarterly How many more 2 100 investments than 2 300 investments will it take to accumulate 111 000 Do not round intermediate calculations and round up the number of investments It will take more payments

T shirt Design Lab Design Your O a Consider the following Describe the pattern Draw the next figure Hawkes Learning Home b Consider the following Question

Take a two digit number represented by ab such that neither a nor b is zero and a is not equal to b Reverse the digits and add the result to the original number Divide this sum by a b What is the quotient

Simplify the radical without using rational exponents Assume all variables are restricted to positive values that way we don t have to worry about absolute values 5 Use sqrt to input square roots into WebWork For example use sqrt 5 to represent 5 Assume all variables are restricted to positive values that way we don t have to worry about absolute values