-2 6 If A= then det (A) = is Choose -5 Thus, A and det (A 1) =

Q: 6. Find AB – C given: [-15 25 A =| 41 32 45 B =|-24 -371 52 -48 -31] 21 [-100 25 -89 -28 34 -2 -98]…

A:

Q: -1 3 5 -3 -2 1 0 4 -2 5 0 0 ㅇ If A find the following: = 1

A: We will solve the following.

Q: 2n n+ 3 -8 I. (-3)" n=1 1 II. 2" A) I only B) Il only III only

A: ∑2n/(n+3)n=1∞ ∑-8/(-3)^nn=1∞ ∑1/2nn=0∞

Q: Suppose that you have 9 green cards and 5 yellow cards. The cards are well shuffled. You randomly…

A: Given, Green cards=9 Yellow cards=5   Let,  G1= the first card drawn is green G2= the second card…

Q: fΣ (α + bk)- 6n and n+1 k-1 (ak- br) = 1 = then ar - n+2 k-1 k-1 O None 3 5. O 2

A:

Q: 1 4 then trace of A= If A = 3 -5 Select one: а. -5 b. 3 C. 1 d. -4

A: Given- A=143-5 To Find- Trace of A. Concept Used- Trace of a square matrix is sum of the diagonal…

Q: 8 k 8 -9 2 O -6 -5 7 9 Let A 0 0 k 6 7 1 2 0 0 0 3 choose When is det(A) > 0? choose Always Only…

A:

Q: (-1)*(k – k4/3 ether k=1

A:

Q: -4 0 5 A =-3 3 5 Let -1 2 2] Which of the following is true about A

A: I have provided solution in step2.

Q: 2 -1 3 Let A = B = C = 5 5 -6 t+1 3 Evaluate the following: 4.4, x B, and A + 3C.

A:

Q: 6 k 6 9 -7 0 1 -9 4 Let A = 0 0 k -1 3 0 0 0 8 -3 0 0 0 0 2 Only when k 0? choose Always Only when…

A: We know that the determinant of an upper triangular matrix is the product of diagonal elements.

Q: 4-P (X10 a) = 0.90 then a = 5. If X~ N (30, o²), if n = 10, s² = 5 then p (X <32) is

A: Solution

Q: 2 2 -2 If A = = -1 0 3 -4 -4 and B -2 0 th 1 -3 3A – 2B and 4AT 24

A: Given: A=22-4-10-43-4-4 and B=30-2-2021-34 To find 3A-2B and 4AT

Q: k(а-2)+ k(5а) B- If k(a) = -43a+2, find 3

A: The objective of the question is evaluate the value .

Q: -17 and C: -1 Let A = y t+1 B = 5 -3 5 -6 3 Evaluate the following: 4A, xB, and A +3C.

A: We need to solve given matrix operations.

Q: -6 -3 0 3. [15p] А: and B Show that det A+det B ± det(A+B). 0 -12 1 9

A:

Q: 1 0 1 If B = 2 -2 1 -1 2 2 then det (B5)

A: Given: B=1012-21-122

Q: N3D(-5,6), s=(-4,-5), (7, 11), Given w = and r= find s-r+w. s-r+w=

A: Use the concept of vector addition and subtraction.

Q: Given: X1=2, x2=5, x3=-8, x4=6, yı=3, y2=-3, y3=-2, ys=2 1. E-1(xi – i)3(xXi Yi)

A: Solution just need the basic calculation , for that please go through the solution.

Q: 3 If A = 3 Show that (AB)-1 = B¯'A¬!, If B = 2

A: In this question we have to solve (AB)-1=B-1A-1

Q: Ž (1 – p)?k=1 = -P- Ž (1 – p)²k 2k-1 Ë (1 – p) | 1- P k=1 k=1

A: Considering the LHS looping the values from 1 to 4 ∑k=1∞(1-p)2k-1 = 11-p∑k=1∞(1-p)2k LHS…

Q: (4-.1.P)an (4-t,t,) and V(t) = (3, t,

A: The given curves are ut=4-t2, t, t2 , vt=3, t2 , t . Let vt=vs →3, s2 , s . Comparing  the…

Q: 6. If A = R and B =L 3 then (AB)-1 is

A:

Q: -3 -1 Let A = ( ), and B = ( ) C = 2A - B What C1? a = %3D C = %3D 10

A:

Q: -3 -51 Let A = 4 5 | 1 -3 5.) 3A + 4B - 50 2 -1 B = −1 1 3 -3 3 5 -5 C = 5 2 -1 -2 -4 3 4 -3 Find:

A:

Q: -8 -2 - 10 2 Let A = 8. 6. 14 and w = 2 Determine if w is in Col(A). Is 4 4 - 2

A: Given,        A=-8-2-108614404 and  w=22-2

Q: 6. If -2 determine all values of x and y for which A= A.

A:

Q: evaluate * √2 2 dw √11+10w-w² O = -0.7973 O=-11.574 = -0.7297 One Hand on Pen, Other on Phone, One…

A:

Q: -1 - 1 Suppose A Then (A") = 2 1 ||

A: Here, the given matrix is: A=-1-121 To find (AT)-1. Note that (AT)-1=(A-1)T

Q: -2 Let A = 3 1 4 Find the following minors: 2 -3 (a) det(M13) (b) det(M22) (c) det(M31) (d) det(M32)

A: Given matrix is A=10-231452-3.

Q: 1. Let A = 2 4 a. Find A + B b. det[b] c. 2C 2 B = -1 3 4 1 0 1 04 C = -1 1 2 0 1 3

A: we can add same order matrix  We can find square matrix determinate

Q: (f) an = an-1 + an-2 + n, if n2 2, ao = -1, a = 1 (h) an = 2an-1 + an-2 + an-3, if n23, ao = 2, a,…

A: Given: f) an=an-1+an-2+n   if n≥2 , a0=-1,a1=1 d)an=2an-1+an-2+an-3   if n≥3, a0=2,a1=1 and  a2=1

Q: -3 Given B = -5 a. Find B-1. b. Find (B-1)-1. 4.

A:

Q: -A) Suppose 1 3 Suppose A-() and Bel 29 if cCA) =cCB) then a is- equalL bo ?a=4/a=\/a=6la=2?

A: Note: We can allowed to solve one question at a time so kindly upload rest of the questions one at a…

Q: 3) passing (-1,-2) and mrmal to y-2x +4 = 0

A:

Q: -1 1 Let A= Then, ||A||2 = 1 - 1 -2 Select one:

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 3 k -8 -9 -4 0 -3 7 -8 -1 Let A 0 0 k 4 -4 0 0 0 5 -5 0 0 0 0 8 choose When is det(A) > 0?

A: To find when the determinant has positive value.

Q: ag Suppose that g(1, 2) = 3 and -1.5, then ... y2

A: To find: The approximated value of g(1.2,2). Given: g1,2=3, ∂g∂xx=1,y=2=-1.5 Concept used;…

Q: -71 8 3 [5 6 -3 8 5 and B = Find AB and BA if A = -3 -2

A:

Q: 1 0 1 If B = -2 1 1 1 2 -1 then det (B) =

A:

Q: 3. Let, a = 3, a2 = 4 and for n2 3, a, = 2an-1+ an-2 + n + 1, express a, in terms of n.

A:

Q: 2 -3 51 : Find det(B), if b = 1 3 -1 -2 2. | 2.

A:

Q: -4 3 -5, then If -3 4 A) AT = A B) AT = - C) AT = -A D)None of this

A: Given matrix A=0-4340-5-350now find the detAdetA =0⇒inverse of the given matrix does not exist

Q: -4 2 -1 -2 | Let A = and B = Find B-A, if possible. 4 0 7 3

A:

Q: -6 8 9 uv w Find the value of x y z if it is known that x y z=3. uv w -6 8 9 -6 8 9 ху 2 uv w

A: Note : As per our guidelines we are supposed to answer only one question. Since you have asked…

Q: @- 8+ドy-0 K 13 let yo)=1 andyいいと Find K

A:

Q: Example 5-2. If, p(x) = { 15ix = 1, 2, 3, 4, 5 (0, elsewhere Find (i) P {X = 1 or 2), and (ii) P{1}.

A: given; probability density function of X;p(x)=x15x=1,2,3,4,5 0elesewhere

Q: 4. Given Z-N(0, 1), P(Z < a) = 0.3 and P(a < Z < b) = 0.6. Find the values of a and b.

A: From the given information, It has been given that, Z~N (0, 1) P (Z&lt;a) =0.3 P (a&lt;Z&lt;b) =0.6…

Q: 4. then trace of A= If A = 3-5 Select one: а. 3 b. 1 C. -5 d. -4

A: Solve

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.