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Statement 1: The product of two diagonal...

Statement 1: The product of two diagonal matrices of order 3 is also a diagonal matrix.
Statement -2 : In general, matrix multiplication is non-commutative.

A

Statement -1 is True, Statement -2 is True, Statement -2 is a correct explanation for statement-1

B

Statement -1 is true, statement-2 is true , statement-2 is NOT a correct explanation for statement-1

C

Statement-1 is true, statement -2 is False

D

Statement -1 is False, Statement -2 is true

Text Solution

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The correct Answer is:
B
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FIITJEE-DETERMINANT-ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-I
  1. If f(x)=|{:(cos(x+alpha),cos(x+beta),cos(x+gamma)),(sin(x+alpha),sin(x...

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  2. The value of f(pi/6) where f(theta)=|{:(cos^2theta,costhetasintheta,-s...

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  3. The system of equation 102x-95y+88z=81,3x+10y+17z=24, 57x+50y+43z=36 h...

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  4. IF ax^3+bx^2+cx+d=|(x^2,(x-1)^2, (x-2)^2),((x-1)^2 (x-2)^2, (x-3)^2), ...

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  5. In a Delta ABC |[1,1,1],[1+sinA,1+sinB,1+sinC][sinA+sin^2A,sinB+sin^2B...

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  6. If a,b,c are sides of a triangle and |(a^(2),b^(2),c^(2)),((a+1)^(2),(...

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  7. The value of |(.^(10)C(4).^(10)C(5).^(11)C(m)),(.^(11)C(6).^(11)C(7).^...

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  8. If D=|{:(2,1,[sin^2theta]),([sin^2theta],costheta,i),(i,1,sintheta):}|...

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  9. If alpha is a root of x^4 = 1 with negative principal argument then th...

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  10. If Delta(x)=|((e^x,sin2x,tanx^2)),((In(1+x),cosx,sinx)),((cosx^2,e^x-1...

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  11. Let x1y1z1,x2y2z2 and x3y3z3 be three 3-digit even numbers and Delta=|...

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  12. If alpha, beta, gamma are the roots of x^(3) + ax^(2) + b = 0, then th...

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  13. The product of all values of t , for which the system of equations (a-...

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  14. Let a,b,c , in R not all are equal and Delta(1)= |{:(a,,b,,c),(b,,c,...

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  15. The value of a for which system of equation , a^3x+(a+1)^3y+(a+2)^3z=0...

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  16. If Delta (x)=|{:(x,1+x^(2),x^(3)),(log(1+x^(2)),e^(x),sinx),(cosx,tanx...

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  17. If ai, bi in N for i 1,2,3, then coefficient of x in the determinant;|...

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  18. Statement 1: The product of two diagonal matrices of order 3 is also ...

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  19. Statement -1 : If Delta(x)=|{:(f1(x),f2(x),f3(x)),(a2,b2,c2),(a3,b3,c3...

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  20. Consider the system of equations x-2y+3z=-1 -x+y-2z=k x-3y+4z=1 ...

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