Matrices and transformations questions | form four Basic Mathematics

(1851) Question Category: Mathematical Calculation

R is a point (1,2). It is translated onto the point S by the vector egin{pmatrix} 3\ -4 end{pmatrix}. Write down ,

  1. The coordinates of S
  2. The vectors that translate S onto R

Answer / Solution

UNSOLVED

(1853) Question Category: Mathematical Calculation

The matrix egin{pmatrix} -1 &0 \ 0& 1 end{pmatrix} represents a single transformation,

  1. Describe fully this transformation
  2. Find the coordinates of the image at point (5,3) after this transformation.

Answer / Solution

UNSOLVED

(1854) Question Category: Mathematical Calculation

If M_2 denotes a reflection in the y-axis and R_{180} a rotation about the origin through an angle of 180  for any point (x,y).

  1. Find R_{180}M_2(x,y) and M_2R_{180}(x,y).
  2. Is R_{180}M_2  commutative ? give a reason.

Answer / Solution

UNSOLVED

(1855) Question Category: Mathematical Calculation

Given that A=egin{pmatrix} 1 &2 \ -1& 4 end{pmatrix}. Find A^{2}+5A+6I where I is the identity matrix.

Answer / Solution

UNSOLVED

(1856) Question Category: Mathematical Calculation

A linear transfomation T has matrix egin{pmatrix} 2 &-1 \ 1& 1 end{pmatrix}. Find

  1. The image of point (2,3) undert T.
  2. Coordinates of the point having an image of (7,2) under T by using matrix method.

Answer / Solution

UNSOLVED


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