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Find aba -1


where (i) a = (5 , 7 , 9) , b = (1 , 2, 3) (ii) a = (1 , 2,5)(3 , 4) , b = (1 , 4 , 5) .

Find aba -1


where (i) a = (5 , 7 , 9) , b = (1 , 2, 3) (ii) a = (1 , 2,5)(3 , 4) , b = (1 , 4 , 5) .

F ind aba -1 w here (i) a = (5 , 7 , 9) , b = (1 , 2, 3) (ii) a = (1 , 2,5)(3 , 4) , b = (1 , 4 , 5) .


If G is the abelian group of integers in the m apping T: G → G given by T(x ) = x then prove that as an autom orphism


Solve the Bernoulli Equation "xyy'+y^2=2x"


Use appropriate substitution to reduce the following equation to a variable separable and then solve the given IVP: "dy\/dx= (3x+2y)\/(3x+2y+2), y(-1)=-1"

Show that the coefficients of the given differential equation are homogeneous and solve the given differential equation: "-ydx+(x+\u221axy)dy=0"


Classify the following random variables as discrete or continuous


the amount of calorie burned by the pasig athletes

Consider the following premises:



1.A-->(B-->A) is a theorem of proportional calculus for all statements A and B.



2.suppose then that the following are the temporary axioms.



a)w



b)y



c)y-->z




Using the logical rules of inference, modus ponens and hypothetical syllogism, show that x-->z is diducible from the given premises.

Discuss the role of expressions and equations in real life contexts

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