`±1`
`±2`
`±3`
`±5`
det (B)
det (A)
det (`B^(-1)`)
det (`A^(-1)`)
have the unique solution
have infinitely many solutions
arc inconsistent
None of the above
` [ (4 , 8),(-4 , - 16)]`
` [ (4 , -4),(8 , - 16)]`
` [ (-4 , 8),(4 , 12)]`
` [ (-4 , -8),(4 , 12)]`
`C` is empty
`B` has as many elements as `C`
`A = B cup C`
`B` has thrice as many elements as `C`
`[ ( cos 3 theta , sin 3 theta),( - sin 3 theta , cos 3 theta)]`
`[ ( cos^3 theta , sin^3 theta),( - sin^3 theta , cos^3 theta)]`
`[ ( cos 3 theta , - sin 3 theta),( sin 3 theta , cos 3 theta)]`
`[ ( cos^3 theta ,- sin^3 theta),( sin^3 theta , cos^3 theta)]`
`3 xx 1 `
`1 xx 1`
`1 xx 3`
`3 xx 3`
` [(1,0),(0,1)]`
` [(1,1),(0,0)]`
` [(0,0),(1,1)]`
` [(0,1),(1,0)]`
`1/10`
`2/5`
`8/5`
`1/40`
`[ (ax + hy +gz , h + b +f , g +f + c )]`
`[(a,h,g),(hx, by, fz ), (g,f, c ) ]`
`[(ax + by + gz), (hx + by + fz ), (gx + fy + cz )]`
`[ (ax + hy + gz , hx + by + fz , gx + fy + cz ) ]`
62
63
65
68
-1
0
1
2
1 and 2 only
2 and 3 only
1 and 3 only
1, 2 and 3
1 only
2 only
Both 1 and 2
Neither 1 nor 2
`lamda = 5 ` and `mu != 9`
`lamda != 5 ` and ` mu = 7` only
`lamda != 5`` and ` mu ` has any real value
`lamda ` has any real value and `mu != 9`
`2 | A|`
Null matrix
Unit matrix
None of these
Only `1`
Only `2`
Both `1` and `2`
Neither `1` nor `2`
` [(1,0,0),(0,0,0),(0,0,1)]`
` [(1,5,0),(0,1,0),(0,0,1)]`
` [(0,2,0),(1,0,0),(0,0,1)]`
` [(1,0,0),(0,1,0),(0,5,2)]`
`3I`
`5I`
`7I`
None of these
` [ (- 3/2 , 0, -3),(-3, - 9/2 , -6) ]`
` [ ( 3/2 , 0, -3),(3, - 9/2 , -6) ]`
` [ ( 3/2 , 0, 3),(3, 9/2 , 6) ]`
` [ (- 3/2 , 0, 3),(-3, 9/2 , -6) ]`
Only `1`
Only `2`
Both `1` and `2`
Neither `1` nor `2`
symmetric
skew-symmetric
hermitian
skew-hermitian
`k^(-n)`
`k^(-1)`
`k^(n)`
`nk`
Only I
Only II
Both I and II
Neither I nor II
` [(-7,26),(1,-5) ]`
` [(7,26),(4,17) ]`
` [(-7,-4),(26,13) ]`
` [(-7,26),(-6,23) ]`
` [ (6 , -10), (4 , 26)]`
` [ (-10 , 5), (4 , 24)]`
` [ (-5 , -6), (-4 , -20)]`
` [ (-5 , -7), (-5 , 20)]`
Only `1`
Only `2`
Both `1` and `2`
Neither `1` nor `2`
`E(alpha beta)`
`E(alpha - beta)`
`E(alpha + beta)`
`-E(alpha + beta)`
`2`
`3`
`4`
`5`
`3`
`-9`
`-27`
None of these
`1` and `2`
`2` and `3`
`1` and `3`
`1, 2` and `3`