3. If A-[-1 2 3, B=-4, then det(AB)= Select one: о а. 11 O b. -5 C. -11 O d. 5

Q: If you know det(A)=4 then what is det(3A-1)?

A:

Q: of c, for whi + 8 in [2, 4]

A:

Q: Suppose you are to arrange 9 people on a line. If 5 specific people require to be following each…

A: Given,total no.of people=9

Q: if det(A)=5 and det(B)=9, then det(AB)= Select one: a. 45 b. 1/5*9 c. 1/9*5 d. -45

A: From the property of determinant, Det(AB) = det(A)*det(B)

Q: (4)if A = [ 1,B = 3. [4 -3. 2 and C = find . -2 6 -4. det(A), det(B),A¯1,B¬1 and C-1.

A:

Q: 7 and N{B} 3 and N(A U B) = 10, how are If N{A} A and B related?

A: Given: NA=7, NB=3, NA∪B=10 We know that if NA+NB=NA∪B then there is no common element exist in Aand…

Q: If b, b b3 = -2, find a-a az as bb, b by

A: Given: Matrix is given

Q: For each of the following, state whe 1. 7, 10, 13,.. 3. 6, 12, 24,..

A: since we answer only first three sub-parts so we will answer first three. Please resubmit the…

Q: If X = 17.34, s = 5.45, and M = 24.88, what is z?

A: Given: X = 17.34 s = 5.45 M = 24.88

Q: epney from the gate of you subdivision to the Greengate sidewalk. Then you can either walk going to…

A:

Q: If det(A) = 1, det(B) = 2 and det(C) = 5 then det (C²B¯'A-!B") =

A: Given that detA=1,detB=2 and detC=5 We have to evaluate detC2B−1A−1BT Use the following property…

Q: 8. Show that if a, b, c, d ∈ R, a^2 + b^2 = 1 and c^2 + d^2 = 1, then ac + bd ≤ 1.

A: Consider the given information. a2+b2=1 and c2+d2=1 As, the square of two number is always positive…

Q: o(12) is equal to: O Option 1 O 27 O 28 O None of the choices

A:

Q: If det(AB) = 0, is det(A) = 0 or det(B ) = 0? Give reasons for your answer.

A: Given: det(AB)=0

Q: Yo' = Be + B, Xq+ BeX2+ E O Find 8,,B2 by MLE Find Efe), vant0,), E(B2), varil@e)

A: Introduction -  Maximum likelihood estimation (MLE)- statistically MLE is the method of finding or…

Q: under what condition is (AB)^-1=A^-1B^-1

A: You didn't mentioned about A and B.    Taking A and B as square matrix.  Here, A-1 and B-1 will also…

Q: If det (AB²) = 24 and det(AB) = 8, what is det (BT) equal to?

A: Note that, det(AB)=det(A)×det(B)

Q: If ged (m,28)=4 and ged (8,7) = | ,then m- | ) ५ (012 b) 15 4)5 9 cd (ज) 2 8 ) - 4 gedt 28/-4 4 3.…

A: Yes your reasoning as well as answer is correct.

Q: If as between = 30, ss within = 40, df between= 3, and df within=20, then f=

A: Given data SSbetween = 30, SSwithin = 40, dfbetween= 3, and dfwithin=20The “MS” or mean of squares…

Q: Given u = (10, 9) and v = (5, - 2), find v-u. O (-10, – 3) O (-5, - 2) O (-15, – 8) O (-5, – 11) O…

A: Givenu=(10, 9)v= (5 ,-2)

Q: In a certain office, 1/3 of the workers are women , 1/2 of the women are married and 1/3 of the…

A:

Q: (а, b, с, d, е, I, 8, h, 1, J А%3 {а, b, с, f, g, j} Find each of the following: В 3 {а, с, е, g,…

A: As per bartleby guideline if more than three subparts asked only first three to be answered kindly…

Q: If m 1=75 and m 2=40°, what is the m4?

A:

Q: If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: In(a³b') (c) In(bc) - 3 1 а (d) (In…

A:

Q: If c > 0, Ju| = c is equivalent to u = or u =

A: Given:              u=c,    c>0 use modulus property:           x=x if x>0x=-x if x<0

Q: Σ, -134 , η 10, s= 3.1 Σ - 40.5 , η 9, σ2.9 = 585.9, , r? = 15472.37, n = 27 ( Please note s? = %3D…

A: Given∑xi=134 i=110n=10standard deviation(s)=3.1

Q: If a * b = a + 2ab, is (a * b) * c = a * (b * c)? *       a. Yes b. No c. Maybe d. Cannot be…

A:

Q: 8. If r || s and m 3=73°, find m 26-

A:

Q: 1 5, If 21 = 2 = 3, 4 = 5, and mz4 = mz3 + 10°, What is m25? %3D m25 =

A: We can find the value of angle 5 as below.

Q: 4. Suppose n ( U)=180, n ( A ) = 42, and n ( B) = 78. Ifn (AU B) = 100, find n(A B). %3D A B.

A:

Q: If m 4 = (x + 80)°, and m 25 = 2x°, then them 25 = %3D 3/4 5/6 7. 8. O 160° O 135° 80° 90°

A:

Q: a. If mMY =115 and mPY=72, what is mzD? b. If mzD = 35 and mMY = 167, find mPY. c. If mPY = 81 and…

A: The given diagram is

Q: 7a If det p 9 15 then det 7b 7c 2w c - r

A: We have to find a relationship between both these determinants, and use the value of first…

Q: If A 3 4a, — 2а, + ба, and B %3D 12aа, + 18а, — 8а, determine: (а) А — ЗВ (b) (2A + 5B)/в| (с) а, XА…

A: Given, A =4ax -2ay +6az B= 12ax +18ay -8az

Q: If A NB + Ø , B nC +Ø ,A nC Ø , JANB| =x + 1 , |B n C| = x, |C – B| = 4 , |A – B| = 3,|B – (AUC) =…

A: Here we can use following formula from set theory to find elements in A, B and C that mean |A|, |B|…

Q: Us det(AB) = det(BA)?

A:

Q: , then Det (A-

A:

Q: 2. If RS = 10 and RU = 9, find QS. R U

A:

Q: If S., t, = \n(n+1)(n + 2)

A:

Q: Is det(AB) = det(BA)?

A: Use this fact that multiplication of two real numbers is commutative.

Q: O If p(A) = 0.17, p(B) = 0.06 and p(A and B) = 0.0102, are A and B independent?

A:

Q: If nana"--) 2anx" = 0, then az = n=1 n=0 (A) ao (B) ao (C) ao (D) ao (E) ao

A:

Q: If = 2,=-3,= 5, llu|| = 1, v|| = 2, ||w| =7 Evaluate .

A:

Q: AA 30.4 $4.6 $4.6 O Yes, by SAS~ O Yes, by SAS- O Yes, by AA~ O No

A:

Q: 2: Suppose A {0,2,4,6,8}, B = {1,3,5,7} and C = {2,8,4}. Find %3D 4) C\B

A:

Q: If N{A} 7 and N{B) 7 and N(A U B) = 7, how are A and B related?

A: Given:NA=7NB=7NAUB=7NA∩B=?Formula:NA∪B=NA+NB-NA∩B

Q: C2, if A act on C2, where A = [a1a2], αγ = (-3, 2), a2 = (-1, – 5) = a₂ Ο λ = -4 + i, (1 - i, 2); λ…

A:

Q: Compute B-2C',(-5/3)A, and AB. where 7-1 2 -2 7 A=3 5 4 , B= 46 and C= 4 05 2 0 4 0 12 -5 3 9

A: See the attachment

Q: 2) If a + b + c = 0, show that a × b = b × c = cxā

A: Solve the following

Q: • If A = ,x-B- then, IA,I= 1. 16 2. 4 3. S 4. - 12

A: The determinant of A is  |A| = (-4)(-3) - (2)(4) |A| =12-8 |A| =4

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.