1-If č=ÅxỂ where Ã= 3L- 4J and B= -21 + 3k what is C? 2- Find the scalar nroduct i E of the two

Q: Let a = (-3, –4, –4) and b = (2, 2, 4) . Find scalars s and t so that sa + tb = (20, 4, 32) %3D %3D

A: We have to find the values of scalers s and t for a=-3,-4,-4 and b=2,2,4.

Q: Let A= 00 b) Say if A is diagonalisable sur Cv H E M3x3(C) such that H-¹AH is diagonal.

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Q: = (4, 1, a), Q = (–2, 0, b) and v = i – 3j + 4k be two points and a vector in R³ respectively. (a)…

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Q: Determine the three roots of -32/2 - j32/2-32 2 - j322 .

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Q: If a and b are integers, then a/b is always a rational number. True False

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Q: c. Find the coordinate vector of the polynomial q(t)=3t² − 6t+2, relative to the basis for P₂ in…

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Q: Find curl (9z i + 10x j + 5y k). curl (9z i + 10x j + 5y k) = ( i )i + ( i j + ( i

A: Curl

Q: Find a scalar equation of the plane that contains the points (−1, −3, 1), (1, 0, 3), and (2, 7, 0).

A: We are going to solve

Q: Find the scalar equation for the plane passing through the point P=(−5, 3, 2) and containing the…

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Q: a) f(z) = vz+Vz - 1 b) f(z) = Vz2 +9 %3D

A: A branch point of an analytic function is a point in the complex plane whose complex argument can be…

Q: D = 3 u=(9,-4); || u || = -√97 u=(9,-4): || u ||= √97 u=(9,4): ||u||= -√97 u= (9,4); ||u||= √97

A: given u has initial point P at (0,0) and terminal point Q at (9,-4)

Q: Determine whether the statement" The weight of a car is a scalar", is true or false. If it is false,…

A: Scalar: Many quantities in geometry and physics, such as volume, mass, temperature and time can be…

Q: Given the function g of the two real variables t and u by g(t,u)=t^2 + tu-u^2+(6+2)u c) Determine…

A: Linearization of a function g(t,u) about (a,b) is  L(t,u)=g(a,b)+(t-a)gt(a,b)+(u-b)gu(a,b)

Q: Consider the basis B = {t^2 −2t+1, 4t^2 −5t+3, 3t^2 +2t} for P2. Compute (2t−1)B by setting up and…

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Q: 3. Let v, and v2 be vectors in an inner product space V. Show that ||v + v2||? < (||Vvl+ ||v2||)?

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Q: Describe all solutions of Ax = b, where [2-5 3] A= -2 6-5 and b = -4 7 0 2 19 Describe the general…

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Q: The scalar component of H parallel to the line y=1, z=2 where H = -2a, + 3as- 4a, at p (1,90, 2) -3…

A: Given: H=-2aρ+3aϕ-4az p=1,90,2

Q: Suppose z=2– 3i, What is a complex function f (z) = – 37 – 2i Re (z) ? —6+ 13і -6- 13i об+13і 6–13i…

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Q: Q1/ Consider the following equation Uxx +Uxy -2uy +1=0 xX, 1) Determine the type of the equation. 2)…

A: We use classification of second order PDE then find the canonical form.

Q: find the scalar equations of two planes which intersect along r=(3,2,-1) +t(1,-2,1). possible…

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Q: Find curl (9z i + 10x j+ 6y k). curl(9z i+ 10x j + 6y k) = ( i )i + (i j +( )k

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Q: Find the scalar equation for the plane passing through the points P1(4, -4, 5), P₂(1, 1, 10), and…

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Q: Expand the 3D pollutant transport equation in vector notation into individual differential equations…

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Q: Q1/ Consider the following equation Uxx +Ury - 2u vy +1=0 1) Determine the type of the equation. 2)…

A: Given PDE is uxx+uxy-2uyy+1=0 comparing with Auxx+Buxy+Cuyy+f=0 We have   So…

Q: If T: R R´is a linear transformation such that 1 -4 T. .T -3 1 0. -3 and T 0 = 0. -2 4 then T 4 -1…

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

Q: Suppose that a parametrization for the solution set to the equation Ax = b is -2 -3 + x2 + x3 8.…

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Q: How many solutions does Ax = [1]   have?

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Q: of the apples is equal to 3 of the oranges. If there are 12 mor 5 In a fruit stall, - - annles than…

A: Fraction:  A small part of something.  In other words, numerical value that is not a whole number A…

Q: Find curl (4z i + 5x j+ 2y k).

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Q: A = x6- y9+z3 B = x6- y3+z9 C = x 2- yl-zl For the given vectors A,B, and C show that whether C is…

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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.