A vector is rotated about the Y-axis 45 degrees and is subsequently rotated about the fixed X-axis by 30 degrees. • What is the rotation matrix? • What is the quaternion?

Q: 7. Use matrices to stretch the vector horizontally by a factor of 3.

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Q: Drive The rotation matriX avound The X-axis at angle 30

A: This question is related to rotation  matrix.

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A: Given query is to u find the matrix after 135° about z axis and 45° about y axis rotation.

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Q: 3. Write matrices for an x-shear with shear factor -2, a rotation of 180, an enlargement of scale…

A: To Write: matrices for x-shear with shear factor -2, a rotation of 180°, an enlargement of scale…

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A: Given,        B=1331

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Q: Derive the matrix for rotation about a 30x-axis?

A: Find the attachment

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Q: Vector Transformations with Matrices

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Q: ind LU and LDU factorization of the following tridiagonal matrix. A=[1 1 0; 1 2 1; 0 1

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A: A=2305202550-26-5512 Now, AT=230-260255-5552012