10. Solve the equation for x, y, z and t, if 2(begin{bmatrix}x & z \ y & t end{bmatrix})+3(begin{bmatrix}1 & -1 \ 0 & 2 end{bmatrix})=3(begin{bmatrix}3 & 5 \ 4 & 6 end{bmatrix}) Previous Next Matrices Exercise 3.2 1. Let…
9. Find x and y, if 2(begin{bmatrix}1 & 3 \ 0 & x end{bmatrix}) + (begin{bmatrix}y & 0 \ 1 & 2 end{bmatrix})=(begin{bmatrix}5 & 6 \ 1 & 8 end{bmatrix}) Previous Next Matrices Exercise 3.2 1. Let (A=begin{bmatrix}2 &…
8. Find X, if (Y=begin{bmatrix}3 & 2 \ 1 & 4 end{bmatrix}) and (2X+Y=begin{bmatrix}1 & 0 \ -3 & 2 end{bmatrix}) Previous Next Matrices Exercise 3.2 1. Let (A=begin{bmatrix}2 & 4 \ 3 & 2 end{bmatrix}), (B=begin{bmatrix}1 & 3 \…
7. Find X and Y, if (i) (X+Y=begin{bmatrix}7 & 0 \ 2 & 5 end{bmatrix}) and (X-Y=begin{bmatrix}3 & 0 \ 0 & 3 end{bmatrix}) (ii) (2X+3Y=begin{bmatrix}2 & 3 \ 4 & 0 end{bmatrix}) and (3X+2Y=begin{bmatrix}2 & -2 \ -1 &…
6. Simplify (cosθbegin{bmatrix}cosθ & sinθ \ -sinθ & cosθ end{bmatrix})+(sinθbegin{bmatrix}sinθ & -cosθ \ cosθ & sinθ end{bmatrix}). Previous Next Matrices Exercise 3.2 1. Let (A=begin{bmatrix}2 & 4 \ 3 & 2 end{bmatrix}), (B=begin{bmatrix}1 & 3 \ -2 & 5 end{bmatrix}),…
5. If (A=begin{bmatrix}{2over 3} & 1 & {5over 3}\ {1over 3} & {2over 3} & {4over 3} \ {7over 3} & 2 & {2over 3} end{bmatrix}) and (B=begin{bmatrix}{2over 5} & {3over 5} & 1\ {1over 5} & {2over 5} &…
4. If (A=begin{bmatrix}1 & 2 & -3\ 5 & 0 & 2 \ 1 & -1 & 1 end{bmatrix}),(B=begin{bmatrix}3 & -1 & 2\ 4 & 2 & 5 \ 2 & 0 & 3 end{bmatrix}) and (C=begin{bmatrix}4 & 1 &…
3. Compute the indicated products: (i) (begin{bmatrix}a & b \ -b & a end{bmatrix})(begin{bmatrix}a & -b \ b & a end{bmatrix}) (ii) (begin{bmatrix}1 \ 2 \ 3 end{bmatrix})(begin{bmatrix}2 & 3 & 4 end{bmatrix}) (iii) (begin{bmatrix}1 & -2 \ 2 &…
2. Compute the following: (i) (begin{bmatrix}a & b \ -b & a end{bmatrix})+(begin{bmatrix}a & b \ b & a end{bmatrix}) (ii) (begin{bmatrix}a^2+b^2 & b^2+c^2 \ a^2+c^2 & a^2+c^2 end{bmatrix})+(begin{bmatrix}2ab & 2bc \ -2ac & -2ab end{bmatrix}) (iii) (begin{bmatrix}-1 & 4…
1. Let (A=begin{bmatrix}2 & 4 \ 3 & 2 end{bmatrix}), (B=begin{bmatrix}1 & 3 \ -2 & 5 end{bmatrix}), (A=begin{bmatrix}-2 & 5 \ 3 & 4 end{bmatrix}) Find each of the following: (i) A + B(ii) A – B(iii) 3A –…
