Theorem
Theorem is a statement that is accepted as true only after proving that it is a consequence of the axiom..
Theorem
Using Binomial theorem, prove that: ..
Using Binomial theorem, prove that: ..Theorem:
If a function f is differentiable at x = a, then it is continuous at x = ..
Theorem
Sum of the angles of a triangle is equal to two right angle..
Theorem:
Prove that in any triangle, the sides of a triangle are proportional to the sines of the opposite angle..
Theorem
If two lines intersect, then the vertically opposite angles are congruen..
Theorem:
The inverse of a square matrix if it exists, is unique. Let A be an invertible square matrix. If possible, let B and C be two inverse of A. Then AB = BA = I. AC = CA = I (by def. of inverse) Now, B = BI = B(AC) = (BA)C [ Matrix multiplication is associative] = IC = C i.e., B = C Hence the inverse..
The inverse of a square matrix if it exists, is unique. Let A be an invertible square matrix. If possible, let B and C be two inverse of A. Then AB = BA = I. AC = CA = I (by def. of inverse) Now, B = BI = B(AC) = (BA)C [ Matrix multiplication is associative] = IC = C i.e., B = C Hence the inverse..Theorem:
If x is a rational number, then the sum (e x ) of the exponential series..
If x is a rational number, then the sum (e x ) of the exponential series..Theorem:
The number of combinations of n dissimilar things, taken r at a time is..
The number of combinations of n dissimilar things, taken r at a time is.. Result
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