Let 1 be a cube root of unity and S be the set of all non-singular c where each of a, b and c is either or 2. matrices of the form | Then the number of distinct matrices in the set S is (a) 2 (b)6 1 IITJEE 2011 (c) 4 (d) 8 For the given matrix to be non singular | 1 cl 0 a (02 and c (u2 where is complex cube root of unity As a, b and c are complex cube root of unity a and c can take only one value i. e. a) while b can take two values i, e. and 2 Total number of distinct matrices = 1 1 2 = 2

Integer type Answer IIT JEE 2011 Let M be a 3 3 matrix satisfying M | 1-| 2 | , M |_1_ | 1 | , and M | 11-0 0 12 Then the sum of the diagonal entries of M is ai b Let M=1a2 b2 c2 3 D3c 0 a1 + bi c as b3 c3 12 a3 + b3 + c3 = 12 C3 = 7 3 3 :. Sum of diagonal elements a b2 ca =0+2+7 a3 -b

Let P and Q be 3 3 matrices P Q. If P3-03 and P20-Q2P then the determinant of IITJEE (P2 Q2) is equal to (a)-2 2012 (b) 1 (c) o (d)-1 Given p3 = Q3 (i) And P2Q = Q2P (ii) Subtracting (1) and (2), we get p2(P-Q) = Q2 (Q-P) (p2 + Q2)(P-Q) = 0 P2 + Q2 = 0 Because P # Q Correct Answer (c)

17 lessons,

2h 38m

Enroll

326

✕Download

Shivam Gupta

JEE Mains and Advanced Mathematics with Shivam Sir
Be maths expert with us - Aspire Study Youtube Channel

U

Unacademy user

Chetan Mycherla

4 months ago

thank you sir

0

Reply

T

Tushar Goyal

a year ago

plz make advance question only mains ke to ho jaate hai

1

Reply

Shivam Gupta

a year ago

I will make...after mains exam

T

Tushar Goyal

a year ago

sir really ur lectures r awesome but thode ache que before mains v bnado plz

T

Tushar Goyal

a year ago

sir really ur lectures r awesome but thode ache que before mains v bnado plz

Shivam Gupta

a year ago

ok..I will create

T

Tushar Goyal

a year ago

thanku ur lectures r very helpful .
whenever any one saw once;he would automatically suggest others about u .
actually thoda people ko pta ni aapke baare me jab pta lageg to aap bahut aage jaayenge

T

Tushar Goyal

a year ago

thanku ur lectures r very helpful .
whenever any one saw once;he would automatically suggest others about u .
actually thoda people ko pta ni aapke baare me jab pta lageg to aap bahut aage jaayenge

T

Tushar Goyal

a year ago

thanku ur lectures r very helpful .
whenever any one saw once;he would automatically suggest others about u .
actually thoda people ko pta ni aapke baare me jab pta lageg to aap bahut aage jaayenge

T

Tushar Goyal

a year ago

T

Tushar Goyal

a year ago

Navamani VL

a year ago

English video put sir

0

Reply

Shivam Gupta

a year ago

yes