निम्नलिखित का मान निकाले
(i) `|{:(7,5),(-2,3):}|` (ii) `|{:(cosalpha,sinalpha),(sinalpha,cosalpha):}|` (iii) `|{:(tanalpha,"cosec"alpha),(sinalpha,cotalpha):}|`
(iv) `|{:(costheta,-sintheta),(sintheta,costheta):}|` (v) `|{:((1)/(3),(1)/(5)),((1)/(2),(1)/(7)):}|` (vi) `|{:(x^(2)-x+1,x-1),(x+1,x+1):}|`
(vii) `|{:("a+ib","c+id"),("-c-id","a-ib"):}|` (viii) `|{:((1)/(2),8),(4,2):}|`
(ix) यदि (If) `A={:[(1,2),(4,2)]:}`, दिखाएँ कि `|2A|=4|A|`
(x) यदि (If) `A={:[(2,4),(-5,-1)]:}`, दिखाएँ कि `|3A|=9|A|`

Answer

(i) 31 (ii) `cos2alpha` (iii) 0 (iv) 1 (v) `-(11)/(210)`
(vi) `x^(3)-x^(2)+2` (vii) `a^(2)+b^(2)+c^(2)+d^(2)` (viii) `-31`