Determine rank(A) and nullity(A). 2 2 3 3 2 2 4 4 5 5 0 0 0 0 1 1 A = 1 1 2 2 2 2 1 2 1 2 1 1 1

Q: Express the following as a linear combination of u = (2, 1, 4), v = (1, -1, 5) and w = (3, 5, 3).…

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Q: 3 Let vi = V2 = and b = For what values of h, if any, is b a linear combination of Vị and v2?

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Q: * 27-28. Consider the Kenken Puzde. What shouid be the value of x and ye 2 y А. х1: у4 B. x= 2; y =…

A: The given puzzle is a 4×4 puzzle. So we have to use the numbers 1, 2, 3, 4.  Rules of KenKen puzzle.…

Q: 6. Determine whether b can be written as a linear combination of a, and a2. In other words,…

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Q: Q1. Use the summation convention and free subscripts to indicate the following linear system Yı =…

A: We will use the notion of summation and the varying subscripts to reduce the system of equations…

Q: Evaluate (x – 2y + z) dS. S: z = 9 – x, 0 < x< 9, 0 <y< 8

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Q: 6. Find x, y and z y

A: Solve for x y z

Q: (p → q) ^ (q → →p) ^ (p v q) is satisfiable

A: Make the truth table for given proposition and then use the definition of satisfiable.  A compound…

Q: The rank and the nullity of A, respectively are 1 23-11 0 0 0 5 A = 0 01 2 Lo000 a. 1,3 b. 2,2 с.…

A: Just write reduced form and count nonzero rows and that's rank of a matrix.

Q: Find u · v. u = 8, 2 v = −7, 3 u · v =

A: A dot product is also called Scalar product , is a way of multiplying two vector quantities to…

Q: The rank and the nullity of A, respectively are 1 2 1 2 1 0 0 1 2 1 A= 000 1 2 0 0 2 4 2 0 00 4 8

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Q: Find (a) u ∙ v, (b) v ∙ v, (c) ||u||2, (d) (u ∙ v)v, and (e) u ∙ (5v).u = (4, 0, −3, 5), v = (0, 2,…

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

Q: est Taker /testtaker/viewtest.html Unit 4 End of U 3 of 8 * Text-to-Speech 3. Determine the…

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Q: 3) 45° A) u = 4/2, v= 8V3 B) u = 8V3, v= 8 C) u = 8 V, v= 4VE D) u= 8, v=4V2

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Q: (a) Taking A = (6.00 î – 8.00 j) units, (-8.00 î + 3.00 j) units, and C = (26.0 î + 19.0 j) units,…

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Q: Match these values of r with the accompanying​ scatterplots: 0.706​, 0.363​, 0.993​, −0.993​, and…

A: From the scatter plot 1, it is clear that the points are merely close around the straight line and…

Q: 40! p(X = x) = ,x =0,1,..,40 x!(40 – x)! (P)*(q)0-x V(x) q =0.1 O 2.5 1.4 3.6

A: The probability mass function of a binomial random variable x is given by PX=x=n!x!·n-x!pxqn-x,…

Q: Evaluate z dr 2(/z+1) + C o b. 2 - 1) C. + C - Vz+I Vz -1

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Q: Find (a) u − v, (b) 2(u + 3v), and (c) 2v − u. u = (−7, 0, 0, 0, 9), v = (2, −3, −2, 3, 3)

A: a). b).

Q: -5 2 -2 4 5 Given A = what is the rank of ATA? 3 -4 -6 -2 -5

A: We find rank of A^TA

Q: 6. Evaluate u x v, where u = -e, - 2e, + 2e,, v = 2e, - 2e, +e,.

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Q: ctors - Z. S. Madhi

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Q: Let u= (-2, – 1) and v= (-8, -5). Find u+ v.

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Q: Suppose v4 = 20 – 02 + 503. Let w = 601 + 202 – 303 – 204. (a) Write w as a linear combination of…

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Q: value of x , y , and z.

A: We will find x y z

Q: Find u - v, 2(u + 3v), and 2v - u. u = (6, -2, 4, 3), (-2, -1) (a) u - v = (b) 2(u + 3v) = (c) 2v -…

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Q: 7. Let w = 8x? + 6 y² +2z° ;x = r²; y =t*; z =r² Find A) -321 + 481- + 201º В) -321 +481' + 201° - =…

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Q: X = [!,5) y =(2,7) ア Superimpose these points on number line; の xリy メny メープ G y -x

A: Note: We are entitled to solve only the first question unless specified (1) Given: x=[1, 5)…

Q: Choose which variables are basic and which are nonbasic: X1 X2 X3 S1 S2 S3 P 0 8 1 -4 0 40 4 160 1 8…

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Q: Which of the following sets are linearly dependent? Select all possible answers. 3 9 { 4 12 |} -3 -…

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Q: -2 -24 Let aj = 3 a2 = -7 and b 30 -5 17 -65 Is ba linear combination of a¡ and a2 ?

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Q: 2t+9 dt (t2–14t+46) 2t + 9 2t + 9 dt (t – 7)2 – 3° J[(t – 7)2 – 3]² Option 2 Option 1 2t + 9 dt [(t…

A: Here, to rewrite the given integral: ∫2t+9(t2-14t+46)52dt...(1)

Q: ∫cosydy/(2+3siny)

A: Given: ∫cos y dy2+3sin y To Find: The value of the given integration

Q: Glven that: -1 3 3. -2 3 -2 5. 4 -1 → rref(A) = -5 4 -3 6. -2 4. 6. 0 0 Rank(A) = Nullity(A) - %3D…

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Q: r = 1, ..., n – 1 + r r

A: From the given that,

Q: 国~ Let aj = a2 -24 and b: For what value(s) of h is b a linear combination of aj and a2?

A: Explained below

Q: 40! p(X =x)= P)" (q)** ,x =0,1,.,40 x!(40 –x)! : A V(x) q =0.1 i 2.5 1.4 3.6

A: Given: Sample size (n) = 40 Probability of failure (q) = 0.1

Q: 4. (a) Given two points (x1, y1) and ( x2,y2 ), Derive the linear interpolation formula in terms of…

A: Two points are (x1,y1) and (x2,y2)

Q: How is w = (-3, –13, 7) e R³ a linear combination of (0, -2, 2) and (1, 3, –1)? U = | V = O A. w =…

A: Given query is to find the correct option for linear combination.

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: . Find u. v, v. v, ||u||², (u v)v, and u (5v). =(2, 4) u= (3, -3), V =

A: Given vectors are u = 3, -3,  v = 2, 4

Q: (mp + mp)V = (mẸ + mp)V¢cOS & = mf(V)F + mp(Viz)p = mgVg COs0 + mpVp (mp + mp)Vy = -(mp + mp)V¢sin o…

A: From the given equations we have,mF+mPvfx=mF+mPvfcos∅       ...........(1)mF+mPvfy=-mF+mPvfsin∅…

Q: 3. Find x, y, and z. 10 5. y x=25, y= -55 b. x= 5, y = 52, z = 5/7 a. x = 3, y = 4, z = 153 с. =…

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Q: 21 Let vi = 4 V2 = -7,V3 3 6 Does (V1, V2, V3) Sspan R?

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Q: 43 Write z = as a linear combination of -10 Select one: O z=2x+y O z=x+2y O z= -2x+y

A: We will find the correct solution

Q: Is the following a linear combination of 0 4 A = B = 3 %3D %3D -3 -3 3. 1 2 11 12

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Q: Which of the following sets are linearly dependent? Select all possible answers. 3 9. 4 12 } -3 "000…

A: We will find out the required solution.

Q: 8, 43 17 Let u = and s = = 3 4 62 s can be written as a linear combination of uv and w as follows:…

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Q: 5. Find the complement of XY' + X'Y

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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.