Let and be the eigen values and = and = be the corresponding eigen vectors of a real 2 2 matrix . Given that = , which ONE of the following matrices represents

# Engg. Maths

## Which ONE of the following functions y(x) has the slope of its tangent equal to Note: a and b are re….

Which ONE of the following functions y(x) has the slope of its tangent equal to Note: a and b are real constants

## R is a closed planar region as shown by the shaded area in the figure below. Its boundary C consists….

R is a closed planar region as shown by the shaded area in the figure below. Its boundary C consists of the circles C1 and C2. If F1 (x, y) F2 (x, y), are all continuous everywhere in R, Green's theorem states that dxdy = Which ONE of the...

## The Newton-Raphson method is used to find the roots of the equation f (x) = x – cosx 01If the ….

The Newton-Raphson method is used to find the roots of the equation f (x) = x – cosx 01If the initial guess for the root is 0.5, then the value of x after the first iteration is

## If a is a constant, then the value of the integral is….

If a is a constant, then the value of the integral is

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## Consider the following (22) matrix:Which one of the following vectors is NOT a valid eigen vector of….

Consider the following (22) matrix:Which one of the following vectors is NOT a valid eigen vector of the above matrix?

## A box containing 10 identical compartments has 6 red balls and 2 blue balls. If each compartment can….

A box containing 10 identical compartments has 6 red balls and 2 blue balls. If each compartment can hold only one ball, then the numbers of different possible arrangements are

## For the function f(t) = ; the Taylor series approximation for t << is….

For the function f(t) = ; the Taylor series approximation for t << is

## If a and b are arbitrary constants, then the solution to the ordinary differential equation ….

If a and b are arbitrary constants, then the solution to the ordinary differential equation

## Consider the following set of linear algebraic equationsx1 + 2×2 + 3×3 = 2×2 + x3 = – 12×2 + 2….

Consider the following set of linear algebraic equationsx1 + 2x2 + 3x3 = 2x2 + x3 = – 12x2 + 2x3 = 0The system has

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