Matrices & Determinants Questions and Answers
Algebra
Matrices & DeterminantsFrom below options select the only elementary matrix O To 0 1 0 E 0 1 500 0 17 1 0 100 To E 0 To 0 17 E 1 0 0 C
Algebra
Matrices & DeterminantsGiven A and b to the right write the augmented matrix for the linear system that corresponds to the matrix equation Ax b Then solve the system and write the solution as a vector Write the augmented matrix for the linear system that corresponds to the matrix equation Ax b Solve the system and write the solution as a vector X 2 A SO 3 4 4 7 4 7 3 b 15 45 36
Algebra
Matrices & DeterminantsGraph the following function y 1 sin Step 2 of 2 Determine how the general shape results on the axes provided Answer
Algebra
Matrices & DeterminantsFind the volume of a pyramid with height 28 and rectangular base with dimensions 4 and 7
Algebra
Matrices & Determinants27 Suppose that S and T are linear mappings with standard matrices 3 7 S 2 4 T T 1 402 2 1 3 a Determine the domain and codomain of S and T b Determine So T and TOS
Algebra
Matrices & DeterminantsDetermine the standard matrix of a reflection in R2 in the line 3x 2x2 0 Enter an exact answer below b sin a 3 2 C E G
Algebra
Matrices & DeterminantsCompute the result of counterclockwise rotation of a vector x a sin a 8 a S 3 by an angle 2
Algebra
Matrices & DeterminantsYou are given the 2 x 2 matrices 11 1 11 1 11 Solve the matrix equation below for X A X I 18 5 7 B 16 10 135 C 0 ATC X CA AC
Algebra
Matrices & DeterminantsYou are given the 2 x 2 matrices 3 8 12 4 19 8 1 1 2 0 3 C 3 X A Solve the matrix equation below for X AX B 2 C
Algebra
Matrices & DeterminantsA pilot is flying over a straight highway He determines the angles of depression to two mileposts 4 8 mi apart to be 29 degrees and 43 degrees Find the distance of the plane from point A and find the elevation of the plane
Algebra
Matrices & DeterminantsCreate a linear model for the data in the table X y 2 7 6 11 Write a linear model for the data in the table y 0x 0 9 14 10 16 11 18 13 21
Algebra
Matrices & Determinants9 points Question 1 Given that 1 u 2 v 2 C 17 d is a unit vector find c 3 4d is a unit vector find d
Algebra
Matrices & DeterminantsWhat is the exponent on x 3x Expand 3xxx 4xxxxx 12X then simplify What is the exponent on x Expand 3x2 then simplify What happened to the 3 What is the exponent on x 12x8 How could you determine the number of x s without expanding How could you determine the number of x s without expanding How could you determine the number of r s without TEV
Algebra
Matrices & Determinants5 The span of a given set of vectors is guaranteed to equal R if the span contains the following three vectors 9 00 Use this fact to check whether the following vectors span R 3
Algebra
Matrices & DeterminantsFlag question Assuming the following distribution 1 4 5 7 9 120 which measure of location is best
Algebra
Matrices & Determinantsa Find the eigen values and eigen vectors of the matrix A 8 6 2 6 7 4 2 4 3
Algebra
Matrices & Determinantswhatever s right dude O c Yes that s reasonable Clear my choice You work full time 40 hours a week You years When you are fired you have 5 we employer pay you when you are fired for
Algebra
Matrices & DeterminantsShow that B is the inverse of A 1 2 2 1 1 1 9 9 12 A STEP 1 Find AB AB STEP 2 Find BA BA 1 3 3 6 0 3 6 1 0 9 1
Algebra
Matrices & DeterminantsUse synthetie division to find the 2x 2 8x 2 19x 30 is result when divided by r 6
Algebra
Matrices & Determinantsou should check the 3 axioms of a subspace Determine if U is a subspace of the indicated vector space U y 4 V R R Then find a basis for U
Algebra
Matrices & Determinantsplane flies 520 kilometers with a bearing of 316 clockwise from north from Naples to Elgin The plane then flies 710 kilometers from Elgin to Canton see figure Canton is due west of Naples Find he bearing of the flight from Elgin to Canton Round to the nearest whole number O N W E S Canton Elgin Not drawn to scale b 44 Naples
Algebra
Matrices & DeterminantsIs this a How can we tell if it is or is not a function Type a response
Algebra
Matrices & DeterminantsUse the true conditional statement shown below State the conve If a number is divisible by 4 then it is divisible by 2 OA If a number is divisible by 2 then the number is not divis OB If a number is not divisible by 2 then the number is not OC If a number is divisible by 2 then the number is divisible
Algebra
Matrices & DeterminantsThe Woodson s want to set aside 100 000 for each of their two children by the time each one starts college They have 6 years remaining for 1 child and 8 years for the other They started the college fund several years ago and the fund earns 7 per year and has a current balance of 75 000 How much do they need to contribute to the fund each year in total to meet their goals if they can increase their savings contributions by 3 every year Assume that the annual contributions occur at the end of the year For simplicity assume that they will withdraw the entire 100 000 for Child 1 at the end of year 6 and the entire 100 000 for Child 2 at the end of year 8 Hint Use Excel to find the starting contribution that achieves the goal and leaves the investment fund at zero after the 100 000
Algebra
Matrices & DeterminantsSolve the system of three linear equations by using the Matrix Method and the Inverse Matrix Method and determine if the system is consistent or inconsistent x 2y 3z 0 3x 2y z 0 3y z 0
Algebra
Matrices & DeterminantsThe sum of the squares of the eigenvalues of the following matrix 4 OA 12 OB 36 OC 2 OD 3 OE 14
Algebra
Matrices & Determinants7 20 pts Use Gaussian Elimination to find the values of k if any such that the system below has a no solution b a unique solution and c infinitely many solutions Show elementary row operation steps This is an exam problem Help is NOT allowed x 2y 3z 1 2x 4y z 2 3x 6y kz 3
Algebra
Matrices & Determinants4 In the figure below ADEF ANPL Find the lengths of the missing sides E N T D 4 2 m 15 3 m 7 8 m P
Algebra
Matrices & Determinants3 If lines L and M are parallel find x y and z Explain your reasoning M y 43 Z
Algebra
Matrices & DeterminantsLet u 2 3 3 and A 6 8 16 12 2 23 5 01 Is u in the subset of R3 spanned by the columns of A Why or why not Select the correct choice below and fill in the answer box to complete your choice Type an integer or decimal for each matrix element O A No the reduced echelon form of the augmented matrix is which is an inconsistent system B Yes multiplying A by the vector writes u as a linear combination of the columns of A
Algebra
Matrices & Determinants1 point Consider the linear code with check matrix Find a generator matrix for this code Answer G H 1 1 1 1 1 0 1 1 0 0 1 0 1 1 00 0 1 0 0 0 0 1 0 00 01
Algebra
Matrices & Determinantsramer s Rule has been used to solve for one of the variables in a system of equations Determine whether Cramer s Rule was used correctly to solve for the variable If not identify the mi System of Equations Solve for z z 1 x 4y 2x3y z x y 4z 6 1 z 1 4 1 2 3 6 1 1 1 1 4 1 2 3 1 1 1 4 O Cramer s Rule was used correctly to solve for z O Cramer s Rule was not used correctly to solve for z The given setup solves for x not z O Cramer s Rule was not used correctly to solve for z The given setup solves for y not z
Algebra
Matrices & Determinants13 Automobile X accidents can cause severe A Financial Loss X B Physical Harm C Emotional Problems D All of the above
Algebra
Matrices & Determinants24 Liability insurance only covers bodily injury to others and damage caused to the vehicles or property of others A True B False
Algebra
Matrices & Determinants17 An endorsement is a form added to an existing insurance contract that changes the terms coverage or scope of the policy A True B False
Algebra
Matrices & DeterminantsIn a total respondents of 21 students about how many should be the number of classes when the data to be gathered is presented on FD
Algebra
Matrices & Determinantselect the Venn diagram that represents the set below U hoose the correct answer below A C I G F LL E C This question 1 point s possible B G D G F F U U
Algebra
Matrices & Determinants7 Consider the matrix 3 3 3 L4 4 0 a Write A as a product of elementary matrices with A included in the product write the actual elementary matrices b Write A as a product of elementary matrices with A 1 included in the product write the actual elementary matrices
Algebra
Matrices & DeterminantsA function is defined by f x 3 where x 0 Find f 1 x Select one a b O C d 4 HI x 1 x 1 X 1
Algebra
Matrices & DeterminantsSolve the three part inequa 3 2x 1 1 The solution set is Tiet in inter
Algebra
Matrices & Determinants5 7 3 3 4 2 4 d Evaluate the determinant of B by a cofactor expansion along the third column You can use t computations from part b Consider the matrix B
Algebra
Matrices & Determinantse answer above is NOT correct Determine the value of h such that the matrix is the augmented matrix of a consistent linear system 4h 12 6 5 15
Algebra
Matrices & Determinants4 Write the solution set for 30 3x2 2x3 0 that is find 31 11x2 6x3 0 all solutions to the system Show Transcribed Text
Algebra
Matrices & DeterminantsGiven the equation of the sphere x 2 y 3 z 1 2 What are the equations of the planes that are tangent to the sphere and parallel to the xz plane