# Algebra Questions

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Algebra
You 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 & Determinants
Graph 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
Listen 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
Complex numbers
What is the period of the function f x 10 O5T O cos 10x
Algebra
Part 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 numbers
A 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 & Series
3 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 Combinations
5 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
5 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 & Series
2 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
The 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
Given 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 & Determinants
If A B are symmetric matrices and AB BA then AB is also sym Select one True O False
Algebra
Matrices & Determinants
1 If A 0 0 0 Select one O True 1 1 1 1 0 1 1 then Nullity A 0 1
Algebra
Matrices & Determinants
If A B are symmetric matrices and AB BA then AB is also symmetri Select one O True 0 False
Algebra
If A B are symmetric matrices and AB BA then AB is also symmetri Select one True
Algebra
Matrices & Determinants
adj of matrix A Select one 7 3 1 b 3 C 4 21 3 1 12 34
Algebra
Matrices & Determinants
Find 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 & Determinants
If 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 & Determinants
A 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 & Determinants
If the vectors V V V3 V4 span R then they form abasis of R Select one True False
Algebra
Matrices & Determinants
If the vectors V V V3 V span R then they form abasis of R Select one False
Algebra
Sequences & Series
Evaluate f x x 6x 3
Algebra
Permutations and Combinations
A homogenous system with two equations and three variables must hav infinitely many solutions Select one Of False
Algebra
Matrices & Determinants
If V V V3 V are vectors in R then they must be linearly dependent Select one True
Algebra
Permutations and Combinations
let W x x 1 x1 x2 are real numbers then W a subspace of R3 Select one O True
Algebra
Matrices & Determinants
The matrix A Select one True False Isin 0 Lcos A Cos 0 sin is singular for some 0
Algebra
Matrices & Determinants
If A 0 0 10 Select one True False 1 1 01 1 1 then Rank A 3
Algebra
W 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 & Determinants
A homogenous linear system AX 0 of two equations and thre unknowns may have a unique solution Select one O True
Algebra
Matrices & Determinants
Find 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
If A is 4x3 matrix and Nullity A 0 then Rank A 3 Select one True False
Algebra
Matrices & Determinants
equals to Select one 1 a BA 25 5 A B d A 8 B
Algebra
Matrices & Determinants
If A is 2x2 matrix such that det A 3 then det A A 1 Select one O True O False
Algebra
Matrices & Determinants
For 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 & Determinants
If 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
if A is singular find value of x 12 x 1 1 1 2 1 1 Select one ooo b 1 C 1
Algebra
Matrices & Determinants
If A B are symmetric matrices and AB BA then AB is also symmetric Select one O True O False
Algebra
Matrices & Determinants
If the vectors V V V3 V4 V5 Span R4 then they are linearly independent Select one True O False
Algebra
Matrices & Determinants
Let A 3 2 2 2 Then the sum of the eigen values of A 1 Select one O True O False
Algebra
Matrices & Determinants
The 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 & Determinants
let 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 & Determinants
5 54 54 55 55 56 57 OOO Select one i in b 25 OC 0
Algebra
Matrices & Determinants
Let A be a 3x3 matrix with eigen values 2 5 3 Then det A 30 Select one O True O False
Algebra
Matrices & Determinants
Let W be the set of singular matrices of order 2x2 Then W is a subspace R x2 Select one O True O False
Algebra