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How Do You Interpret The Determinant Of A Matrix

Determinant of a matrix is the scalar quantity that can be determined by using a square matrix. If A is a matrix, then determinant of A is... View Article

What Are The 4 Properties Of Math

In mathematics, the four properties of numbers are commutative, associative, distributive and identity. Commutative property A+B = B+A A.B... View Article

If A Cos Alpha I Sin Alpha B Cos Beta I Sin Beta C Cos Gamma I Sin Gamma And B C C A A B 1 Then Cos Beta Gamma Cos Gamma Alpha Cos Alpha Beta Is Equal To

Given a = cos α+i sin α, b = cos β+i sin β, c = cos γ+i sin γ a = eiα b = eiβ c = eiγ b/c... View Article

If W Not Equal 1 Is A Cube Root Of Unity And 1 W2 N 1 W4 N Then The Least Positive Value Of N Is

Given (1+ ω2 )n = (1+ ω4 )n (-ω)n = (1+ω3ω)n (-ω)n = (1+ω)n (-ω)n = (-ω2)n... View Article

If 1 W And W 2 Are The Cube Roots Of Unity Then Is Equal To 1 W 1 W 2 1 W 4 1 W 8 Is Equal To

Given 1, ω and ω2 are the cube roots of unity. 1+ω+ω2 = 0 1+ω = -ω2 1+ω2 = -ω (1+ω)(1+... View Article

The Square Roots Of 7 24 Root 1 Are

-7- 24√-1 = -7-24i (since √-1 = i) Let √(-7-24i ) = x+iy Squaring both sides (-7-24i ) = (x+iy)2 = x2-y2+2xiy Compare real... View Article

If 2x Equal 1 Plus Root 3i Then The Value Of 1 X2 X6 1 X X2 6 Is

Given 2x = -1+ √3i x = (-1+√3i)/2 = ω So (1- x2 + x)6 - (1- x + x2)6 = (1-ω2+ω)6-(1-ω + ω2)6 =... View Article

The Modulus And Amplitude Of 1 I Root 3 8 Are Respectively

(1+ i√3 )8 = (2(½)+(√3/2)i)8 = ( 2 cos 60 + i sin 60)8 = (2 eiπ/3)8 = 28ei8π/3 = 28 e(2π+2π/3)i =... View Article

The Principal Amplitude Of Sin 40 I Cos 40 5 Is

(sin 40o + i cos 40o)5 = i5(cos 400-i sin 400)5 = i(cos 2000-i sin 2000) = i(cos 1800+200)-i sin (1800+200) = i (-cos 200+i sin 200) = -i cos... View Article

If Omega Is A Cube Root Of Unity Then The Value Of 1 Omega Plus Omega Power 2 5 1 Omega Omega 2 5 Is

Given ω is a cube root of unity (1 - ω + ω2)5 + (1 + ω - ω2)5 = (1+ ω+ ω2-2ω)5+(1+ ω+... View Article

If Rooti5 3i Power 33 2 49z Then Modulus Of The Complex Number Is

Given (√5+√(3i))33 = 249z Take modulus |√5+√3i)33| = |249z| |√5+√3i)|33 = 249|z|... View Article

If Omega Is An Imaginary Cube Root Of Unity And X Equal A Plus B Y A Omega B Omega 2 Z A Omega2 B Omega Then X2 Y2 Z2 Is Equal To

Given ω is an imaginary cube root of unity x = a + b y = aω + bω2 z = aω2 + bω x2+y2+z2 =... View Article

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Archives

How Do You Interpret The Determinant Of A Matrix

What Are The 4 Properties Of Math

If A Cos Alpha I Sin Alpha B Cos Beta I Sin Beta C Cos Gamma I Sin Gamma And B C C A A B 1 Then Cos Beta Gamma Cos Gamma Alpha Cos Alpha Beta Is Equal To

If W Not Equal 1 Is A Cube Root Of Unity And 1 W2 N 1 W4 N Then The Least Positive Value Of N Is

If 1 W And W 2 Are The Cube Roots Of Unity Then Is Equal To 1 W 1 W 2 1 W 4 1 W 8 Is Equal To

The Square Roots Of 7 24 Root 1 Are

If 2x Equal 1 Plus Root 3i Then The Value Of 1 X2 X6 1 X X2 6 Is

The Modulus And Amplitude Of 1 I Root 3 8 Are Respectively

The Principal Amplitude Of Sin 40 I Cos 40 5 Is

If Omega Is A Cube Root Of Unity Then The Value Of 1 Omega Plus Omega Power 2 5 1 Omega Omega 2 5 Is

If Rooti5 3i Power 33 2 49z Then Modulus Of The Complex Number Is

If Omega Is An Imaginary Cube Root Of Unity And X Equal A Plus B Y A Omega B Omega 2 Z A Omega2 B Omega Then X2 Y2 Z2 Is Equal To

If Omega Is A Complex Cube Root Of Unity Then Sin Omega 10 Omega 23 Pi By 4 Is Equal To

If Square Root Of 7 24i Is X Iy Then X Is Equal To

If Z2 Z 1 0 Where Z Is A Complex Number Then The Value Of Z 1

The Expression Sin X 2 Cos X2 I Tan X 1 2isinx 2 Is Real Then The Set Of All Possible Values Of X Is

If N Is A Positive Integer Then 1 Plus I Root 3 N Plus 1 I Root3 N Is Equal To

If Alpha Is A Complex Number Satisfying The Equation Alpha 2 Alpha Plus 1 Equal 0 Then Alpha 31 Is Equal To

If Omega Not Equal 1 Is A Cube Root Of Unity Then The Sum Of The Series S 1 Is

If 3 By 2 Plus I Root3 By 2 Power 50 Equal 3 25 X Iy Where X And Y Are Real Then The Ordered Pair X Y Is

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