Answer only four questionsQ1/ complete the following sentences with suitable answer in the blanks:1. For any two vectors X, Y where X = .Y =then X=Y when ...... and ......‚Y = [,]•then ||XY|| =2. Let X =3. For any two vectors XY are perpendicular when ......4. When X = then the unit vector corresponding to X is U = .....5. The set S = {Xq,X2, X3} is linearly independent when -....6. The equation y(3)y² + x*y = 0 is of order ..... and degree>%3D%3D. ...Q2/ prove the following1. Any two vectors X and Y are parallel if and only if cose = 0 when 0 is the anglebetween X and Y2. The triangle inequality (for any two vectors X and Y then ||X + Y|| < ||X|| + ||Y ||.Q3/A) let X = (-2, –3, –4), Y = (2, –1,2) find:1. Х-Y2. ХxY3. The angle between Xand YB) Let W be the set of all 2 x 2 matrices of form W = {(" ) a, b,c e R}, show that W isSubspace of the space of all 2 x 2 matricesQ4/ solve the following differential equations:1. y Iny dx + (1+x*)dy = 02. 3x- z+x²z* = 0dzdxQ5/ find the solution of the following:1. (D² – D)y = 4x – 2x²2. (D² – 6D + 9)y = 7e2*

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Q1/ complete the following sentences with suitable answer in the blanks: 1. For any two vectors X, Y where X = [, Y = ), then X=Y when -.. and ...... 2. Let X = %3D 3. For any two vectors X.Y are perpendicular when ....

Q1/ complete the following sentences with suitable answer in the blanks: 1. For any two vectors X, Y where X = [, Y = ), then X=Y when -.. and ...... 2. Let X = %3D 3. For any two vectors X.Y are perpendicular when ....

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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