Let A=[(1,0,0),(1,1,0),(1,1,1)] and B=A^...

Let `A=[(1,0,0),(1,1,0),(1,1,1)]` and `B=A^20` . Then the sum of the elements of the first column of B is

211

251

231

210

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

MATRICES AND DETERMINANTS
VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|78 Videos
MATRICES AND DETERMINANTS
VMC MODULES ENGLISH|Exercise Numerical ValueType for JEE Main|15 Videos
JEE MAIN REVISON TEST-23
VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos
MOCK TEST 1
VMC MODULES ENGLISH|Exercise PART III : MATHEMATICS (SECTION-2)|10 Videos

Similar Questions

Explore conceptually related problems

If A=[[1,0,0],[0,1,0],[a,b,-1]] , find A^2

If A=[{:(1,0,0),(0,1,0),(a,b,-1):}] then A^(2) is equal to

Let A=[{:(1,2,1),(0,1,-1),(3,1,1):}] . Find the sum of all the value of lamda for which there exists a column vertor Xne0 such that AX=lamdaX .

Let A = [(1,0,0), (2,1,0), (3,2,1)], and U_1, U_2 and U_3 are columns of a 3 xx 3 matrix U . If column matrices U_1, U_2 and U_3 satisfy AU_1 = [(1),(0),(0)], AU_2 = [(2),(3),(0)], AU_3 = [(2),(3),(1)] then the sum of the elements of the matrix U^(-1) is

If [(2,-1), (1, 0),(-3, 4)]A=[(-1, -8, -10), (1, -2, -5), (9, 22, 15)] , then sum of all the elements of matrix A is 0 b. 1 c. 2 d. -3

Let A=[(2,b,1),(b,b^(2)+1,b),(1,b,2)] where b gt 0 . Then the minimum value of ("det.(A)")/(b) is

Let matrix A = [[1,0,0],[25,1,0],[25,0,1]] and a matrix B of third order with its columns as B_1 , B_2 , B_3 be such that AB_1 = [[1],[25],[25]] , AB_2 = [[0],[1],[0]] , and AB_3 = [[0],[0],[1]] . Find det(adj B) .

If A= [(0,1),(1,0)] and B= [(0,-x),(x,0)] , then

Let A=[(1,0,0),(0,1,1),(0,-2,4)],I=[(1,0,0),(0,1,0),(0,0,1)] and A^-1=[1/6(A^2+cA+dI)] Then value of c and d are (a) (-6,-11) (b) (6,11) (c) (-6,11) (d) (6,-11)

VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -JEE MAIN ARCHIVE

If the system of linear equations x+ay+z=3 and x+2y+2z=6 and x+5y+3z=b...
Text Solution
|
Suppose A is any 3 × 3 non-singular matrix and (A -3I) (A-5I)=0, wher...
Text Solution
|
Let A=[(1,0,0),(1,1,0),(1,1,1)] and B=A^20 . Then the sum of the elem...
Text Solution
|
If A=|{:(,2,-3),(,-4,1):}| then adj (3A^(2)+12A) is equal to
Text Solution
|
If S is the set of distinct values of 'b' for which the following ...
Text Solution
|
If s={x in [0,2pi]:|[0,cosx,-sinx],[sinx,0,cosx],[cosx,sinx,0]|=0} the...
Text Solution
|
The number of real values of for which the system of linear equation...
Text Solution
|
Let A be any 3xx3 invertible matrix. Thenwhich one of the following i...
Text Solution
|
For two 3xx3 matrices A and B, let A+B=2B' and 3A+2B=I3 where B' is t...
Text Solution
|
If A=|{:(,5a,-b),(,3,2):}| and A adj A=A A^(T), then 5a+b is equal to
Text Solution
|
The system of linear equations x+lambday-z=0, lambdax-y-z=0, x+y-lam...
Text Solution
|
The number of distinct real roots of |(sinx, cosx, cosx),(cos x,sin x,...
Text Solution
|
about to only mathematics
Text Solution
|
Let A be a 3xx3 matrix such that A^2-5A+7I=0 then which of the stateme...
Text Solution
|
If {:A=[(-4,-1),(3,1)]:}, then the determint of the matrix (A^2016-2A^...
Text Solution
|
The set of all values of lambda for which the system of linear equ...
Text Solution
|
if A=[(1,2,3),(2,1,-1),(a,2,b)] is a matrix satisfying A A'=9l(3,) fin...
Text Solution
|
if the value of the determinant |{:(a,,1,,1),(1,,b,,1),(1,,1,,c):}| ...
Text Solution
|
If A=[(0,-1),(1,0)] , then which one of the following statements is n...
Text Solution
|
If A is a 3 x 3 matrix such that |5-adjA|=5 , then |A| is equal to ...
Text Solution
|