**MA8251 Important questions ENGINEERING MATHEMATICS 2**

MA8251 Important questions ENGINEERING MATHEMATICS 2 Regulation 2017 Anna University free download. ENGINEERING MATHEMATICS 2 MA8251 Important questions pdf free download.

**Sample MA8251 Important questions ENGINEERING MATHEMATICS 2: **

- If the sum of 2 eigen values and the trace of a 3×3 matrix are equal , find

the value of |?| - State Cayley-Hamilton theorem.
- Prove that sum of eigen values of a matrix is equal to its trace. (MA8251 Important questions ENGINEERING MATHEMATICS 2)
- Find the matrix corresponding to the quadratic form 2xy+2yz+2zx.
- What is the nature of the quadratic form x2+y2+z2 in 4 variables?
- Reduce the quadratic form 8×2+7y2+3z2-12xy+4xz-8yz into canonical

form by orthogonal reduction and find its nature. - State Gauss Divergence theorem (MA8251 Important questions ENGINEERING MATHEMATICS 2)
- State Stokes theorem.
- State Greens theorem
- Give the unit normal vector to the surface ??? = ? at (2, 1, 1).
- Give the unit normal vector to the surface ?? + ?? + ?? = ? at (1,1,1).
- Define conformal mapping.
- Show that an analytic function in a region R with constant

imaginary part is constant. (MA8251 Important questions ENGINEERING MATHEMATICS 2) - If f(z) is an analytic function whose real part is constant, Point

out f(z) is a constant function. - Explain that a bilinear transformation has at most 2 fixed

points. - Examine whether the function ??? can be real part of analytic

function. (MA8251 Important questions ENGINEERING MATHEMATICS 2) - Formulate the image of |? + ?| = ? under the map ? = ?/?.
- Show that the transformation maps, in general, circles and

straight lines into circles and straight lines. Point out the circles

and straight lines are transformed into straight lines and circles

respectively. (MA8251 Important questions ENGINEERING MATHEMATICS 2) - State the sufficient conditions for the existence of Laplace

transform. - State first and second shifting theorem.
- State and prove change of scale property.
- Apply initial and final value theorem for the verification of the

function f(t) = 1+ e-t (sint + cost). (MA8251 Important questions ENGINEERING MATHEMATICS 2)

Subject name | ENGINEERING MATHEMATICS 2 |

Subject Code | MA8251 |

Regulation | 2017 Regulation |

**MA8251 Important questions ENGINEERING MATHEMATICS 2** **Click Here to Download**

**MA8251 Important 16 Mark questions Engineering Mathematics 2**

**MA8251 ENGINEERING MATHEMATICS 2 Syllabus**

**MA8251 ENGINEERING MATHEMATICS 2 notes**

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