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(i)A^2-B^2!=(A+B)(A-B) Explain why in ge...

`(i)A^2-B^2!=(A+B)(A-B)` Explain why in general(0 A? -8^@ = (A + B) (A - B),

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(i)A^(2)-B^(2)!=(A+B)(A-B) Explain why in general( (0A?-8^(^^)@=(A+B)(A-B)

Explain eohy in general(ii) (A+-B)^(2)!=A^(2)+B^(2)+-2AB

If A and B are square matrices of the same order,explain,why in general (A+B)^(2)!=A^(2)+2AB+B^(2)( ii) (A-B)^(2)!=A^(2)-2AB+B^(2)( iii) (A+B)(A-B)!=A^(2)-B^(2)

If A = 125 and B=8, then what is the value of (A+B)^3- (A-B)^3- 6B(A^2-B^2) ? यदि A = 125 तथा 8B= है, तो (A+B)^3- (A-B)^3- 6B(A^2-B^2) का मान क्या है?

If A = [{:(i, 0),(0,i):}] and B = [{:(0,-i),(-i,0):}] , then (A + B)(A - B) equals

(a) Factorize a^(2) - (b -8) a - 8b

If A and B are square matices of the same order such that A^2=A,B^2=B,AB=BA=0 then (A) AB^2=0 (B) (A+B)^2=A+B (C) (A-B)^2=A+B (D) none of these

Prove that [(a^(2) + b^(2))/(a + b)]^(a + b) gt a^(a) b^(b) gt {(a + b)/(2)}^(a + b) , where a,b gt 0

FIITJEE-MATRICES -SOLVED PROBLEM
  1. (i)A^2-B^2!=(A+B)(A-B) Explain why in general(0 A? -8^@ = (A + B) (A -...

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  2. Explain eohy in general(ii) (A +- B)^2 !=A^2 + B^2 +- 2AB.

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  3. If A = [{:( 1, 2),(3,-4):}] B= [{:( 2,-7),( 5, 8) :}] and C = [{:( 1...

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  4. If A,B,C are three matrices such that A=[x, y, z], [(a, h, g),(h, b, f...

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  5. If A=[{:(,1,1,2),(,0,2,1),(,1,0,2):}] show that A^(3)=(5A-I)(A-I)

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  6. Prove that every square matrix can be uniquely expressed as the sum of...

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  7. If B is a real mxn matrix, show that B'B as well as BB'is a symmetric ...

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  8. Solve the following system of equation by matrix method x + y - 2z = 1...

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  9. Solve the following system of equation by matrix method x+2y +3z+1=...

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  10. Find the values of lambda and mu so that the system of equations (i)...

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  11. If A =[{:( 2,5,3),(3,1,2),(1,2,1) :}] then A^(-1) is equal to

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  12. With the help of metrices the solution of the equations 3x+y+2z=3,2x-3...

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  13. If the trace of the matrix A= [{:( x-1 ,0,2,5),( 3, x^(2) - 2 ,4,1),(...

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  14. If A and B are square matrices of order 3, then

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  15. If A and B are any two square matrices of the same order than ,

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  16. IF A = [{:( -2,3,-1),( -1,2,-1),( -6,9,-4) :}] and B = [{:( 1,3,-1),(...

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  17. If A=[{:( 1,-tanx ),( tanx ,1):}] then the value of [A^(T) A^(-1) ] ...

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  18. If A = [{:( alpha , 2),( 2,alpha ) :}] and |A^(3) | = 125 then the val...

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  19. A= [{:( 1,0,0) ,( 0,1,1) , ( 0,-2,4) :}] ,I= [{:( 1,0,0) ,( 0,1,0),( 0...

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  20. If A is a square matrix of order 5 and 9A^(-1) then [adj (adj AJJ] (...

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