Matrices and transformations questions | form four Basic Mathematics

(1888) Question Category: Mathematical Calculation

A linear transformation T maps the point (x, y) onto
(x^{1},y^{1}) where (x^{1},y^{1})= (x + y, -x + 2y).
Determine the matrix T of this transformation. Find the
determinant and inverse of T.

Answer / Solution

UNSOLVED

(1889) Question Category: Mathematical Calculation

Find the matrix B in the equation AB = C, where A=egin{pmatrix} 7 &5 \ 4& 3 end{pmatrix} and C=egin{pmatrix} 1 &-1 \ 1& 1 end{pmatrix}

Answer / Solution

UNSOLVED

(1890) Question Category: Mathematical Calculation

Given that A=egin{pmatrix} 0 &2x \ x & 0 end{pmatrix}, find the values for X if left | x ight |=-8.

Answer / Solution

UNSOLVED

(4475) Question Category: Mathematical Calculation

  1. Given matrices A=igl(egin{smallmatrix} 3 &5 \ 4 & -2 end{smallmatrix}igr), B=igl(egin{smallmatrix} 3 &-1 \ -3 & 2 end{smallmatrix}igr) and C=igl(egin{smallmatrix} k &-4\ 3 & -2 end{smallmatrix}igr).
  1. Find A^{2}+2A
  2. Find t and y such that B^{2}=tB+yI where I is an identity matrix.
  3. Find the value of k if the determinant of C is 5.
  1. A linear translation Q carried point (x, y ) into (x`,y`) such that x`=5x-3y and y`=-2x+4y
  1. Determine the transformation matrix Q.
  2. Find Q(3,3)
  3. Find the image of the point obtained in part (b)(ii) above under Q.

Answer / Solution

UNSOLVED

(6180) Question Category: Mathematical Calculation

  1. Given the matrices P=egin{pmatrix} 2 & -3 \ 5 & 4 end{pmatrix} and Q=egin{pmatrix} 9 & 12 \ -15 & 3 end{pmatrix}. Find 2P-frac{1}{3}Q.
  2. If the matrix egin{pmatrix} 4k & 8\ 2 & 9k end{pmatrix} is singular , find the possible values of k.

Answer / Solution

UNSOLVED

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