# Algebra Questions

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Algebra

Quadratic equationsYou create a post on a social media site and tag six friends In the second round each of your friends tag six people and the process continues a Write a function that represents the number of people who are tagged in the nth round A 9 b In which round will 7776 people be tagged Rou

Algebra

Matrices & DeterminantsGraph g x 4 cosa Use 3 14 for T Use the sine tool to graph the function Graph the function by plotting two points The first point must be on the midline and closest t the origin The second point must be a maximum or minimum value on the graph closest to the first point Sine 6 28 Move 4 71 3 14 1 57 3 g x 2 1 0 1 Undo 2 1 57 Redo 3 14 x Reset 4 71 6 28

Algebra

Quadratic equationsListen Determine whether the table represents an exponential growth function an exponential decay function or neith x 1 2 3 4 y 3 11 19 27 O exponential growth function O exponential decay function neither

Algebra

Quadratic equationsPart A Your grandmother opened an account when you were born with 1000 The account earns 3 interest compounded quarterly How much money will be in the account when you turn 18

Algebra

Complex numbersA quadratic equation is equal to 0 the constant is 16 the quadratic term s coefficient is 1 the linear term s coefficient is 6 What is are the solutions to the problem C 8 16

Algebra

Sequences & Series3 Prove that the relation R defined on the set X N 0 by aRb if and only if a 362 is divisible by 4 is an equivalence relation Determine its equivalence classes 1 R 10 R How many different equivalence classes does this relation have

Algebra

Permutations and Combinations5 Let X be the set of all different nine letter words that can be obtained by permuting the letters of the word AAABBCCCE How many elements does X contain In how many elements of X there are no neighbouring vowels terminology A E are vowel letters while B C are consonant letters

Algebra

Quadratic equations5 1 Two numbers multiply together to equal 64 but add together 12 What are the two numbers Select Select 16 32 8 and Select 4 Select

Algebra

Sequences & Series2 Find the union UnEN 0 An and intersection neN 0 An of the sets 1 An 12 1 2 2 Pay special attention to the endpoints of the appropriate intervals

Algebra

Quadratic equationsThe surface area of a right circular cylinder is given by the polynomial 2xrh 2xr where h is the height r is the radius of the base and h and r are given in the same units A beverage can has height 5 9 in and radius 1 4 in Find the surface area of the can Use a calculator with a key or use 3 141592654 for The surface area of the can is in GILB

Algebra

Quadratic equationsGiven the following data X 65 V 95 x 325 Zy 475 Exy 308 the value b 1 5 slope in the linear regression equation a bx find Ex Select one a 21145 b 21125 c 21155 d 21135

Algebra

Matrices & DeterminantsIf A B are symmetric matrices and AB BA then AB is also sym Select one True O False

Algebra

Matrices & DeterminantsIf A B are symmetric matrices and AB BA then AB is also symmetri Select one O True 0 False

Algebra

Quadratic equationsIf A B are symmetric matrices and AB BA then AB is also symmetri Select one True

Algebra

Matrices & DeterminantsFind X and Y if 5 3 4 6 3 2 7 7 Y 3 1 15 14 X Select one a X 2 Y 9 b X 1 2 Y 9 c X 2 Y 1 9 d X 2 Y 9

Algebra

Matrices & DeterminantsIf A 34 23 Select one a b C 1 d 1 1 2 1 1 1 1 2 1 1 B 1 JINE NIH 2 2 0 1 then A B i 19

Algebra

Matrices & DeterminantsA 6 7 38 8 235 6 31 Find 3A 2B Select one a 3 2 19 12 3 14 19 3 2 19 12 3 14 3 2 19 12 3 14 d 3 2 19 12 3 14

Algebra

Matrices & DeterminantsIf the vectors V V V3 V4 span R then they form abasis of R Select one True False

Algebra

Matrices & DeterminantsIf the vectors V V V3 V span R then they form abasis of R Select one False

Algebra

Permutations and CombinationsA homogenous system with two equations and three variables must hav infinitely many solutions Select one Of False

Algebra

Matrices & DeterminantsIf V V V3 V are vectors in R then they must be linearly dependent Select one True

Algebra

Permutations and Combinationslet W x x 1 x1 x2 are real numbers then W a subspace of R3 Select one O True

Algebra

Matrices & DeterminantsThe matrix A Select one True False Isin 0 Lcos A Cos 0 sin is singular for some 0

Algebra

Quadratic equationsW is the set of all vectors in R2 whose second component is the cube of the first Select one O O O O a W is subspace because it s not closed under addition b W is not subspace because it s closed under addition c W is subspace because it s not closed under addition d W is not subspace because it s not closed under addition

Algebra

Matrices & DeterminantsA homogenous linear system AX 0 of two equations and thre unknowns may have a unique solution Select one O True

Algebra

Matrices & DeterminantsFind X if A is a symmetric matrix 4 x 2 2x 3 x 1 A Select one 2 a x 0 0 b x 4 d x 1

Algebra

Matrices & DeterminantsIf A is 2x2 matrix such that det A 3 then det A A 1 Select one O True O False

Algebra

Matrices & DeterminantsFor a 3 x 3 system with coefficient matrix A if rank A 2 then the system can t have unique solution Select one O True O False

Algebra

Matrices & DeterminantsIf A is an nxn invertible matrix then Select one 1 O a A 1 det A adj A O O O 1 b A adj A det A c A 1 det A adj A 1 d A det A adj A

Algebra

Matrices & DeterminantsIf A B are symmetric matrices and AB BA then AB is also symmetric Select one O True O False

Algebra

Matrices & DeterminantsIf the vectors V V V3 V4 V5 Span R4 then they are linearly independent Select one True O False

Algebra

Matrices & DeterminantsLet A 3 2 2 2 Then the sum of the eigen values of A 1 Select one O True O False

Algebra

Matrices & DeterminantsThe determine of 5 0 101 25 30 40 L 15 5 20 Select one O 1 5 5 4 5 a LO 02 6 8 3 1 4 b 102 5 68 3 14 9 1 55 68 3 1 4 d 02 102 6 8 3 1 4 5 5

Algebra

Matrices & Determinantslet A 1 x 1 7 x 1 0 x O O O 0 0 Select one a x 6 only b x 1 or x 0 c x 1 only d x 1 or x 0 if det A 0 then value of x

Algebra

Matrices & DeterminantsLet A be a 3x3 matrix with eigen values 2 5 3 Then det A 30 Select one O True O False

Algebra

Matrices & DeterminantsLet W be the set of singular matrices of order 2x2 Then W is a subspace R x2 Select one O True O False

Algebra

Quadratic equationsLet W be the set of all symmetric 2x2 matrices Then W is a subspace R 2 Select one O True O False

Algebra

Sequences & Seriesfind value of x that makes matrix A singular x4 1 A Select one O a 2 O b 1 C 1 d 2 O

Algebra

Matrices & DeterminantsIf A is an nxn invertible matrix then Select one O a A 0 det A adj A b A adj A det A c A 1 det A adi A d A 1 det A adj A

Algebra

Matrices & Determinants80 2 2 A 4 2 B 4 2 HB 36 5 1 Find X such that 2A 3X 5B Select one O a 2 10 3 14 3 4 13 3 7 3 O b 2 10 3 4 31 3 14 3 7 3 2 4 10 3 14 3 31 3 7 3 O d 2 10 3 4 14 3 31 3 7 3