ECAT Mathematics 2

1 0 0 0 ω 0 0 0 ω² || =?

• 1

• 0

• ω

• ω²

If matrix B is equal to transpose of matrix A and then determinant of B is |A| = 12

• 1/12

• 12

• 24

• 1

Solve | 1 a b 1 x b 1 c x|=0

• a

• b

• 0

• A and B both

Solve[ 4 2x −4x −3 ]+ [−5 −3y 5y 3]= [−1 1 1 0]

• (-4,-3)

• (-3,-4)

• (4,3)

• (3,4)

[1 −i 0 1] [1 0 i 0] [1 i i 0]=?

• [2 2𝑖 𝑖 − 1 ]

• [2 2𝑖 𝑖 1 ]

• [2 2𝑖 1 − 1 ]

• [2 𝑖 𝑖 − 1 ]

[4 −2 −3 0]+ [w x y z]= [2 −3 0 5]

• -2,-1,3,5

• -2,1,3,5

• -2,-1,-3,5

• -2,-1,3,-5

[− 2 3 4 − 1 ][1 𝑥 5 2 4 𝑥 ][− 3 1 0 ] = [2 − 14 ]

• 0

• 1

• -1

• none

|1 a b+c 1 b c+a 1 c a+b|=

• 0

• 1

• -1

• none

If [1 3 2 𝑘 ] is a singular matrix then value of k

• 6

• -6

• 0

• 1

X+ 2𝐼 = [3 − 1 0 1 2 3 4 2 6 ] then 𝑋 =?

• [1 − 1 0 1 0 3 4 2 4 ]

• [1 − 1 0 1 0 4 4 2 4 ]

• [1 − 1 1 1 0 3 4 2 4 ]

• [1 − 1 0 1 0 3 1 2 4 ]