Suppose that vertices of a hut-shaped triangle on a computer screen are given by the coordinates (1, 0), (5. 0). (5, 3), (3. 5) & (1, 3). Transform this hut in following order 1. Reflect it along x-axis 2. Rotate it 180° counterclockwise i. Write 2*2 matrices for each transformation. Representing the above hut-shaped in form of data matrix, apply these transformations one by one and draw it at each step Find a single matrix of the composite transformation which performs both transformations at once. Apply it to the hut and draw it. It should be the same with the one obtained in part i. ii.

Q: 5. Find the rank and also the numerical rank of the matrix 1 1 .000a 0.000a where a is the last…

A: To find the rank and numerical of the matrix: 11.0007000.0007

Q: In the process to determine the inverse of a matrix, you will come to the following matrix…

A:

Q: Which of the matrices that follow are in row echelon form? Which are in reduced row echelon form?

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Q: Write T as a matrix transformation.

A: Given, T is a linear transformation such that                 T2-2=12-2,   T-6-5=850

Q: (c) Find A-1 and B-1 using the adjoint matrices you found in part (b).

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Q: Take A to be the 3 x 2 matrix whose entries are the 1998 tourism figures and take B to be the 3 x 2…

A: Use the table that gives the number of people (in thousands) who visited Australia and South Africa…

Q: Find a 3 by 3 matrix that scales the point (x,y,z) by 2 in the x direction and 4.5 in the direction,…

A:

Q: Determine the matrix that produces the pair of rotations.60° about the x-axis and then 60° about the…

A: Letxyz be a vector'R' be a rotation matrixThe position of the vector after rotation is = Rxxyz(i)…

Q: If A is a 3 x 5 matrix, then what is the domain of the transformation TA If A is an upper triangular…

A: Please provide a correct and well explained for the following: (a) If A is a 3×5 matrix, then what…

Q: Find the inverse of the elementary matrix.

A:

Q: Use the specified row transformation to change the matrix. 4 2 12 8 -3 times row 1 added to row 2…

A: The given matrix is: A=42128 According to the question, we need to do the row transformation as…

Q: (This matrix represents contra-clockwise rotation by 45 degrees.)

A: As per the question we are given a 2×2 rotation matrix A and we have to express it in its…

Q: Find the inverse of the elementary matrix.

A: Now, Co factors: Therefore,

Q: Which of the matrices that follow are in row echelon form? Which are in reduced row echelon form?

A: The given matrix is .

Q: reflect matrix 14 51 across x=-5

A: Please find attachment for the details solution

Q: Suppose A is a 2 × 4 matrix, and B is a 4 × 2 matrix. Assuming that A, B act on vectors in R",…

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Q: Match each linear transformation with its matrix.

A:

Q: Determine the matrix that produces the pair of rotations.30° about the y-axis and then 45° about the…

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Q: (c) Using matrices, find the images of the points (1,7), (-4,5) and (8,2) under a translation of +6…

A: Write the matrix as x and y coordinate. Then proceed  xy = 1-48752

Q: Which of the matrices that follow are in row echelon form? Which are in reduced row echelon form?

A:

Q: Use the specified row transformation to change the given matrix. -4 1-5 - 2R2 + R3 3 1 4 10 5 3…

A: We need to do the matrix transformation and find the elements of the third row.

Q: Which of the matrices that follow are in row echelon form? Which are in reduced row echelon form?

A:

Q: Use the Householder Transformation to convert A to a tridiagonal matrix. 4 5 1 A = 1 -1 3 2) 5

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Q: Use the matrices below to perform the indicated operation if posible. B- the opertion is adefined,…

A: The given matrices are: B=-116-52          and         C=01071

Q: Diaganolize the following matrix. 0 0 -1 -1 0 0 3

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Q: Find the coordinate matrix of x relative to the orthonorm x = (10, 20, 5), B = {(÷, 0). (- ÷ [x]B =…

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Q: Use the indicated row operation to transform 6 −2 2 6 2 3 1 2 1 9 −5 5.   Interchange R2 and R3. The…

A: See solution below

Q: Find the matrix E so that EB=C, where a, a, a, B= b, b, b, & C= 1 а, а, 0 8, 8,

A: Given that the matrix B ad C To find the matrix E so that EB=C with a1 is not equal to zero.

Q: Use the given row transformation to transform the following matrix. 9 6 15 4 The transformed matrix…

A: Given matrix is 9    6                           15   4 Here Row 1 elements are 9,6 To transform the…

Q: Use the given row transformation to change the matrix as indicated. [-1 ;7 times row 1 added to row…

A:

Q: Construct a 4x4 matrix to rotate 60° about the z-axis and rotate 30° about the x-axis and then…

A: Here we need to find out the 4x4 matrix to rotate 60 degrees to z axis and 30 degrees to x axis also…

Q: Find the inverse of the elementary matrix.

A:

Q: To divide the LHS by a matrix on the RHS, what steps do you follow?

A: To find: To divide the LHS by a matrix on the RHS, what steps do you follow?

Q: Derive the matrix that performs the following consecutive transformations (in augmented form): 1-…

A: (1) Let T be a transformation that translate 2- unit along x-axis. Therefore: Txyz=x+2yz Therefore…

Q: Which of the matrices that follow are in row echelon form? Which are in reduced row echelon form?

A:

Q: Which of the matrices that follow are in row echelon form? Which are in reduced row echelon form?

A: Given

Q: a) (11-1) If A = 0 -2 3 001 , Show that A² = −4+27, where is the identity matrix.

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Q: =) Find the matrix exponential eAt for the martrix 0 2 A = %3D -2 0

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Q: Use the given row transformation to change the matrix as indicated. :-2 times row 1 added to row 2…

A: Dear student, as per our rule in one session we can only solve one question. Please post the other…

Q: Calculate LU decompositions for each of these matrices (Non-anonymous questionO) 1 3 2 A = 2 8 5 2 1…

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Q: Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) [39] 163-

A: find the inverse of matrix= 30   04

Q: For each statement, say whether it's true or false. Give a very brief justification for each answer.…

A: The matrices are not commutative if, AB≠BA.

Q: Let the transformation T : R³ →R² be given by the formula "(x¡ ,xX2,Xz ) = (2x, -x,, x, +3x,). Find…

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Q: Use the specified row transformation to change the matrix. -3 times row 1 added to row 2

A:

Q: Find the product of the following two matrices. (Can be found in the attached picture)

A: Our Aim is to find the product of the matrices given below:--3-3-14100-1-(i)

Q: Find values for the variables so that the matrices are equal. image 1 =image 2

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Q: Write the matrix corresponding to the following linear transformations. 21 2-ES Y2 3x3 -1 3 0. 2 -1…

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Q: The coordinates of the end of a line is at P (0, 0, 1) and at Q (1, 1, 1). Represent mathematically…

A: Given that the coordinates of the end of a line is at P (0, 0, 1) and at Q (1, 1, 1). So the…

Q: Find the matrix of a linear transformation that would take the line 2x -5y = 0 to 7x -3y = 0

A:

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.