Write down the 2 × 2 matrices that represent the following linear transformations ofthe plane. Also draw the image of the (first quadrant) unit square 1 under each transformation. (a) A dilation with horizontal dilation factor 2 and vertical dilation factor 1/2. (b) A vertical shear with factor −1/2. (c) A rotation of 450 anticlockwise.

Q: Determine the regression equation 1 2 3 4 5 6. 7 8 y 0,5 0,8 1,2 1,9 3 4,8 7,5 11,9

A: Note: Commas are taken as decimals for computation. Mean x=∑xin=(1+2+3+4+5+6+7+8)/8=36/8=4.5Mean…

Q: 6. Perform the following transformation: f(x, y) → (x-1, y+2). Plot the points of the images. A:…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining question. here i…

Q: 1. A. Dilation by a factor of 2 B. Reflection in the origin 2 0 2. C. Reflection in the x-axis 3. D.…

A:

Q: Determine which of the following transformations T: R² → R² are linear. 1. T(x) = (10z², #₂) 2. T(x)…

A: Transformations are given, we have to find its is a linear or not.

Q: Which of the following transformations are linear? DA. T(A) = A + Is from R³x3 to R³×3 OB. T(A)=9A…

A: Given :  A.TA=A+I3B. TA=9AC. T(A)=A2 To Check : Given transformation is linear Note : As per policy…

Q: what are the transformations of y=6/x-2  -3

A: Y= aF(x-h)+K  Here h and k represents horizontal and vertical shifts according to their signs  a…

Q: Trapezoid GHIJ is located in the coordinate plane at points G (0,0), H (-1,2), I (3, 2), and J…

A: By the definition  Two figures are congruent ifvthey having same shape and size. Their corresponding…

Q: A triangle is defined by the coordinates P1(3, 0, 0), P2(0, 5, 0) and P3(0, 0, 7). The triangle is…

A: NOTE:- By Bartleby rules, only part (a) is done A triangle is defined by the coordinates…

Q: Please answer numbers 3, 4, and 5.

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: Find /| (4x + 5y)dA where Ris the parallelogram with vertices (0,0), (5,-4), (1,-2), and (6,-6). Use…

A: Given integral, ∫∫R4x+5ydA Here R is the parallelogram with vertices 0,0, 5,-4, 1,-2 and 6,-6. To…

Q: Let T₁: V₁ V₂ and T₂: V₂ V3 be linear transformations. Consider the following questions. The…

A: Solution given by you has many ambiguity in the definitions. So I rewrote the whole thing. Thanks

Q: (i) Find the matrix that represents the reflection g in the line through the origin with angle of…

A:

Q: The transformation described below adds 1 to the x-coordinate and doubles the y-coordinate of any…

A: The transformation described below add 1 to the x- coordinate and double the y - coordinate. (x,y)…

Q: A trapezoid is graphed on a coordinate grid and then reflected across the y-axis. Which rule…

A: As given:-  A trapezoid is graphed on a coordinate grid and then reflected across the y-axis

Q: Which of the following transformations are linear? Y1 = -10x1 OA. Y2 = 6x1 Y3 = 3x1 OB. ( OC. Y2 Y3…

A:

Q: (2z + 4y)dA where R is the parallelogram with vertices (0,0), (-5,4), (3,-2), and (-2,2). Use the…

A:

Q: a) Find the matrix of the linear transformation, 1 -3 x1 F( x2 ) + x2 -1 + x3 -2 = x1 4 -2 X3 b)…

A: