Answer in book says both these (d,f) below are linear transformations, please show me how? 2) Which of the following are linear transformations from R2 >R2? (d) Rotation: if x = rcos0,y rsin0, then T(x, y) (rcos(0), rsin(0 + p)) for some constants angle p (f) Reflection: given a fixed vector 7 = (a, b), T maps each point to its reflection with respect to r 2x,

Q: 5u + 3 at u=3 2.

A: We need to find 5u+32 at u=3. So,       5u+32=5(3)+32=182=9.

Q: If 21 = (2, -1), z₂ = (6, 3), find 2₁ 22 - 22.

A:

Q: 8. Which expression is the simplest form of V48 – 4V6

A: Simplest form: - When an expression is easiest to employ, it is in its simplest form. Given: - The…

Q: rỉ + 10x1x2 + x = as² + ßt²

A:

Q: Describe Fundamental Theorem of Linear Algebra.

A: Given an m×n matrix A, the fundamental theorem of linear algebra is a collection of results relating…

Q: Evaluate: eaa+b dx O elaz+b) + c e(ax+b) + c a ax +bx+c + c O aelaz+b) + c

A:

Q: Find u · v, u· u, ||V|2, (u · v)v, and u · (3v). u = (3, -3, 5), v= (0, 6, 4) (a) u. v 2 (b) 43 u.u…

A:

Q: + 4 Y

A: Graph the line equation

Q: Determine how AABC was translated. ...

A: We can use the graphical translation in order to solve the given problem.

Q: Find u · v, u· u, v||2, (u · v)v, and u · (3v). u = (4, 11), v = (-2, 3) (a) u. v 25 (b) u.u 137 (c)…

A:

Q: Date: الموافق Deternine where the function isut Contineys.

A: A function is said to be continuous function, if the function is defined at all points of x and the…

Q: Simplify the following using Power of a Quotient Rule. 2. A BB A B4 A'B A° B" A B 18 AB14

A:

Q: Find ux v, v x u, and v x v.

A:

Q: x 2. -4 x

A: Note:-As per your demand we solve question 2 for you The given figure is

Q: X 1.00 1.01 1.49 1.50 1.51 1.99 2.00 Y 4.0000 3.9899 3.1885 3.1629 3.1368 1.0671 1.0000 SOLVE FOR…

A: We are given the values of x and y.  We need to solve for the role of change of y with respect to x.…

Q: Evaluate A- using the method of adjoints 3 2 7 -3 3 4 1 A = 1 -4 -3 -4 1 -2

A:

Q: 5л 4

A:

Q: 6. Which expression is the simplest form of V12+ V48

A: Solution

Q: Let å = (– 1, – 2, 1) and b = (4, 2, 1). Find å x b. V

A:

Q: Multiplt. 3i(4-i)

A:

Q: Find a and b such that 3 1 1 27 = a -3 + b -6 2 a = b =

A:

Q: Let u= and v=2i+j-2k. Please type in length |w| of w=2u-v. Please type (integer) number only

A: Given u=1,2,1 and v=2i+j−2k And w=2u−v We have to find the length w Here, u=i+2j+k…

Q: Which of the following best describes Span ? O a point O three points O a line O a plane O all of R3…

A: We have to check that set is linearly independent. If independent the span R3 otherwise span…

Q: fonthe bougaht we write an quakinn yo bmx+ fthe Cmve Seex

A: The slope of tangent to any equation is determined by finding its derivative. If y=tanx+tanx1+secx…

Q: Use diagonalization of A= work. 6 2 - to compute A6 by hand. Show your

A: Step 1:Step 2:Step 3:

Q: ..=A+B Ā +B al. B = 2ī + 2j - 2K 3Ā = -i- 3j- k US 1/

A: Given A¯ = -i¯-3j¯-k¯B¯ = 2i¯ +2j¯ -2k¯

Q: Why vector of algebra related in maritime industry

A: Vectors are mathematical objects that have both magnitude (size) and direction. In the maritime…

Q: V=(2,7,10),V%=(1,2,3), Vz (1,3,5),Vz=(1,5,9)

A: Let V=aV1+bV2 +cV3 where a, b and c are constants.

Q: Given the vectors V and w in the figure below, X 13 근 AREA = 60 units² y

A:

Q: Evaluate the expresslon when a=7 and x=-3. -a+6x

A: A detailed solution is given below

Q: O Can be expressed linear combination of [ -],L 2. as a

A: