Identify the matrix that represents each linear transformation below. Write A, B, C, D, D or F. ^ - ( ²0 ) = -(¯3² • 2)-C-( -√2/2 √2/12) D= 0 2 -20 , E= 0-2 20 and F= √212-√212 √212 √212 1. Clockwise rotation by an angle of 45° is associated to matrix 2. Counterclockwise rotation by an angle of 45° is associated to matrix 3. Clockwise rotation by an angle of 90° is associated to matrix 4. Counterclockwise rotation by an angle of 900 is associated to matrix 5. A dilation by a factor of 2 is associated to matrix 6. Reflexion about the origin and a dilation by a factor of 2 is associated to matrix Hint: Draw a vector and its image under each transformation.

Q: The matrix for a one-to-one linear transformation from \R^4 to \R^3

A:

Q: Define Square matrix?

A: A matrix is the arrangement of data in rows and columns.

Q: Perform elementary row operations to transform the matrix [2 3] 5 6 into the identity matrix.

A:

Q: 1. Consider the matrices -3 0 2-2 A₁ ¹ = ( ₁ ) ₁4₂ = ( −8 −2 ) ₁4₁ = ( −² − ²). 4 1 13 , , A3 0 -2…

A: We have to match the given matrix with the function represented in the graph

Q: Write the linear transformation: A reflection in the line through the origin which forms an angle x…

A: Step 1: Step 2: Step 3: Step 4:

Q: Use the matrix P to determine if the matrices A and A' are similar. -1 -1 - 13 6 6 6 P=[¯1 ¯2]·…

A:

Q: Explain Matrix-Valued Functions?

A: A function is a relation from a set A to set B such that each values in the set A maps to exactly…

Q: Yi 6x1 -1x2 Y2 —17х1 +3x2 I|||

A: Given linear transformation T is  y1=6x1-1x2y2=-17x1+3x2 Its inverses is the function T-1 from y to…

Q: Find a 2 by 2  matrix that scales the point (x,y) by 0.5 in the x direction and 3 in the y…

A:

Q: Find 3 x 3 upper triangular matrix with determinant 1.

A: 3×3 upper triangular matrix

Q: please Write the 2D rotation matrix that rotates by 90 degrees clockwise

A: Step1: We have create the rotate90 function and passed the arguments array aStep2: using the two for…

Q: Find matrix X:   3.     6     5     4     -2   *X=     18     49     -20     6

A: The detailed solution is given below Thank you

Q: Consider the matrix in the image (i) Determine the inverse matrix B^−1 , of B. (ii) Using the…

A:

Q: Could you please help me simplify the matrix in the photo to reduced echelon form?

A:

Q: Given A = 1 0 0 -3 1 1 1 - 2 -1 " x = and b = 300 150 400

A: Given that the system Ax=bHere A=1-3101-201-1 , b=300150400

Q: 10 Let A = -2 1 B (Enter a matrix like -3 -6 -87 Find the product of any two of the matrices. The…

A: The rule of order (or dimension) of matrices for matrix multiplication is as follows:For two…