**2076 (2019)**

**Linear Algebra and Vector Analysis (Math.Ed.445) Major**

Time: 3 hrs

Full Marks: 100

|DOWNLOAD PDF| Bachelor Level 4 Years Education (IV Year) - Linear Algebra and Vector Analysis | Math.Ed.445 | Question Paper | 2076/2019

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*Candidates are required to give their answers in their own words as far as practicable.*

*The figures in the margin indicate full marks.*

**Attempt ALL the questions.**

**Group 'B' [8x7=56]**

OR

Solve the following equations by using Cramer's rule.x+2y+3z=6

2x+4y+z=7

3x+2y+9z=14

2. Find the rank of the matrix

Find rank of the matrix? |

3. Determine the scalar and vector projection of B onto A if A=(1,2,3) and B=(-1,2,-3),

OR

Prove that the union of two subspaces of a vector space is a subspace if and only if one is contained in the other.4. Define convex sub set of a vector space. Let P1, P2, ....., Pn be points of a vector space V. Let S be the set of all linear combinations t1+t2+.....+tn=1. Then prove that S is convex.

5. Solve the equation x

^{4}-2x

^{2}+8x-3=0 by Descartes' method.

View the question paper of Linear Algebra and Vector Analysis (Math.Ed.445) | Bachelor Level (4 Yrs.) | Education | IV Years | TU

Linear Algebra and Vector Analysis (Math.Ed.445) Major 2076/2019 Question Paper Bachelor Level (4 Yrs.) Education IV Year TU |

Linear Algebra and Vector Analysis (Math.Ed.445) Major 2076/2019 Question Paper Bachelor Level (4 Yrs.) Education IV Year TU |

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