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Matrix, find the matrix of the linear transformations T:R2->R2 defined by T...

find the matrix of the linear transformations T:R2->R2 defined by T(x,y,z)=(x+2y,x-3z).

Permutations and combinations, Consider this. You have four units A, ...

Consider this. You have four units A, B, C and D. You are asked to select two out of these four units. How do you go about this particular task? Will your methodo

Determine the direction cosines and direction angles, Determine or find out...

Determine or find out the direction cosines and direction angles for a = (2, 1, -4) Solution We will require the magnitude of the vector. ||a|| = √ (4+1+16) = √ (21)

Solve 6 sin ( x/2)= 1 on [-20, Solve 6 sin ( x/2)= 1 on [-20,30] Soluti...

Solve 6 sin ( x/2)= 1 on [-20,30] Solution Let's first work out calculator of the way since that isn't where the difference comes into play. sin( x/2)= 1/6   ⇒x/2= sin

Prove that sec2+cosec2 can never be less than 2, Prove that sec 2 θ+cosec 2...

Prove that sec 2 θ+cosec 2 θ can never be less than 2. Ans:    S.T Sec 2 θ + Cosec 2 θ can never be less than 2. If possible let it be less than 2. 1 + Tan 2 θ + 1 + Cot

UNITARY METHOD, A group of 120 men had food for 200 days.After 5 days , 30 ...

A group of 120 men had food for 200 days.After 5 days , 30 men die of disease.How long will the remaining food last

Two circles touch each other externally, Two circles touch each other exter...

Two circles touch each other externally: Given: Two circles with respective centres C1 and C2 touch each other externaly at the point P. T is any point on the common tangent

Basic computation formulas of differentiation, Basic "computation" formulas...

Basic "computation" formulas : Next, let's take a quick look at some basic "computation" formulas that will let us to actually compute some derivatives. Formulas 1)   If f

Models of energy production, Find models of energy production and energy us...

Find models of energy production and energy usage from 2 different countries, each on a different continent, which predict future energy production and demands. How was data collec

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