Matrices and transformations questions | form four Basic Mathematics

(1846) Question Category: Mathematical Calculation

Find the enlargement matrix which maps the point (− 3, 4) into (18,− 24) .

Answer / Solution

UNSOLVED

(1847) Question Category: Mathematical Calculation

It is given that A=egin{pmatrix} 2 &4 \ 3& 1 end{pmatrix} , I=egin{pmatrix} 1 &0 \ 0& 1 end{pmatrix}and k is a real number.

  1. Find the matrix A-kI
  2. Show that the matrix above has no inverse if k^2 -3k-10=0.

Answer / Solution

UNSOLVED

(1848) Question Category: Mathematical Calculation

A transformation T has the matrix T=egin{bmatrix} 1 &x \ r&-2 end{bmatrix}. Under the same transformation T, the point (-4,1) is mapped onto point (6,3). Find x and r.

Answer / Solution

UNSOLVED

(1849) Question Category: Mathematical Calculation

For what values of n will the matrix egin{pmatrix} n-1 &n+3 \ 1& 6n end{pmatrix} be non-singular?

Answer / Solution

UNSOLVED

(1850) Question Category: Mathematical Calculation

If A=egin{pmatrix} 1 &2 \ 1& 1 end{pmatrix} ; B=egin{pmatrix} 3 &2 \ 4& 5 end{pmatrix} .Find

  1. A+B
  2. A	imes B
  3. The inverse of B

Using the inverse of B in (3) above find the solution of the simultaneous equations

left{egin{matrix} 3x+2y=12\ 4x+5y=23 end{matrix}
ight.

 

Answer / Solution

UNSOLVED


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