Matrices and transformations questions | form four Basic Mathematics

(6191) Question Category: Mathematical Calculation

Work out the values of x and y in the following cases:

  1. egin{pmatrix} 5 & 7\ 6 & 8 end{pmatrix}inom{2}{3}=inom{x}{y}
  2. egin{pmatrix} 6 & 4\ 8 & 10 end{pmatrix}inom{x}{y}=inom{24}{46}

Answer / Solution

UNSOLVED

(6192) Question Category: Mathematical Calculation

Find the equation of the line joining points (1,7) and (2,9) after a reflection in the line y=x.

Answer / Solution

UNSOLVED

(6193) Question Category: Mathematical Calculation

  1. Find the inverse of matrix A=egin{pmatrix} 2 & -3\ 1 & 2 end{pmatrix}.
  2. Find the point P(x,y) if A=egin{pmatrix} 2 & -3\ 1 & 2 end{pmatrix}inom{x}{y}=inom{-5}{8}.
  3. Determine the image of the point obtained in part (b) under enlargement by the matrix egin{pmatrix} 2 & 0\ 0 & 2 end{pmatrix} followed by a reflection in the line y=x.

Answer / Solution

UNSOLVED

(6194) Question Category: Mathematical Calculation

  1. Determine a matrix M which represents a reflection in the line y−x=0.
  2. Find the image of the line x+2y-4=0 after a reflection in the line y-x=0.

Answer / Solution

UNSOLVED

(6195) Question Category: Mathematical Calculation

  1. If A=egin{pmatrix} 3 & 2\ 4 & -1 end{pmatrix} find |A| and A-1.
  2. Use the inverse matrix obtained in (i) to solve 3x+2y=12 and 4x-y=5.

Answer / Solution

UNSOLVED

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