Interesting facts about  Linear Algebra thumbnail
Interesting facts about  Linear Algebra thumbnail

Interesting facts about Linear Algebra

1st - University grade
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Preview (10 questions)
1 Question
vor 30 Sekunden
Q.

What is the quadratic form of the matrix A?


X+xy+y2

X2+xy

X2+y2

Q ( x ) = x T A x

2 Question
vor 30 Sekunden
Q.

Which of the following is not a major type of integration?


Indefinite Integral

Proper Definite Integral

Improper Definite Integral

Vertical Mergers

3 Question
vor 30 Sekunden
Q.

Which of the following is correct for matrices?


(AT) = A

AB = BA

A*I = I

All the above

4 Question
vor 30 Sekunden
Q.

What is the determinant of the matrix whose eigenvalues are 7, 1, and 9 is given by?


45

63.9

14

8

5 Question
vor 30 Sekunden
Q.

Given equations are 4x+2y+z=8, x+ y+ z=3, 3x+y+3z=9. Find the values of x, y, and z.


5/3, 0, 2/3

1, 2, 3

4/3, 1/3, 5/3

2, 3, 4

6 Question
vor 30 Sekunden
Q.

What if A and B are square matrices then?


(AB)′ = B'A'

(BA)'=BA'

(BC)'=B'C'

(AC)'=A'C'

7 Question
vor 30 Sekunden
Q.

What does R mean in a matrix?


Real numbers

Rational numbers

Irrational numbers

Rest numbers

8 Question
vor 30 Sekunden
Q.

What is a matrix that must be symmetric and upper triangular?


Diagonal

Non-diagonal 

Symmetric

Asymmetric

9 Question
vor 30 Sekunden
Q.

How many types of Linear algebra are there?


5

4

3

2

10 Question
vor 30 Sekunden
Q.

What is a symmetric and skew-symmetric matrix called?


Diagonal matrix

Elementary matrix

Equivalent matrix

Symmetric matrix