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Kozhaniyazov D.A. EE-14-1

Task 1. Calculate

Implementation of the task

Use the command: =

Answer: 32

Task 2. Simplify the expression

Implementation of the task

Use the command: simplify

Answer:

Task 3. Open the brackets and cause similar terms

Implementation of the task

Use the command: expand

Answer:

Task 4. To factor the expression

Implementation of the task

Use the command : factor

Answer:

Task 5. This expression is convert into a sum of partial fractions.

Implementation of the task

Use the command: convert to partial fraction

Answer:

Task 6. Solve the equation

Implementation of the task

Task 1. Given the vectors a, b, c, and the number of k, m, n.

1. n;

2. n · ;

3. scalar product of vectors and ;

4. vector product of vectors and ;

5. length of vector and vector, received in previously item;

6. cross product of vectors , , ;

7. whether given three vectors are linearly dependent or not?

Implementation of the task

2. Given matrixes A, B, C.

1. find determinant of matrix A and C;

2. define matrix ;

3. find inverse matrix to matrix A and C, if they exist;

4. find rank of matrix A and C, with operation rank(A);

5. find product of matrix A on matrix B;

6. find meaning of operation ;

Implementation of the task

Task 3. Given system of equation DX=F.

1. calculate this system of equation by the formulas of Cramer;

2. calculate this system of equation with method of inverse matrix by the formula X=;

3. calculate this system of equation with operation (built-in function) lsolve(D,F).

Implementation of the task

1. 

2

3

8