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Matrices III Lowersixth Science Mathematics
 

Froggy Jumps

Matrices III Lowersixth Science MathematicsOnline version

Lowersixth science math: Matrix topics.

by YAKILI LMS
1

What is a skew-symmetric matrix A?

2

Which property defines an orthogonal matrix Q?

3

If A and B are square, what is A + B?

4

Which is true about matrix addition?

5

What is the result of A + 0 for any matrix A?

6

What must be true for matrix addition to be defined?

7

Matrix multiplication is defined for?

8

What is the product of two diagonal matrices?

9

What is the identity matrix I?

10

For a diagonal matrix D, what is D^2?

11

What is a unit matrix?

12

Which property does the transpose operation preserve?

13

What is the transpose of a row vector?

14

Which operation is not commutative in general?

15

If A is skew-symmetric, what is A^T?

16

A skew-symmetric matrix A has what property when size odd?

17

What is the determinant of an odd-order skew-symmetric matrix?

18

How do you check orthogonality of Q?

19

What is the effect of multiplying by the identity matrix?

20

Which is true for matrix addition and scalar multiplication?

21

If A is m x n and B is n x p, what is AB size?

22

What is the trace of a diagonal matrix?

23

A diagonal matrix has what feature?

24

What is a symmetric matrix?

25

Which operation preserves symmetry of a matrix?

26

If A is symmetric, A^2 is?

27

What is the shape rule for AB?

28

Which matrix is invertible if its determinant nonzero?

29

What is the product AB if A is m x n and B is n x p?

30

What is a zero matrix?

31

Unit matrix is another term for?

32

What happens to the determinant under row swap?

33

Which property is true for A^T?

34

If A is orthogonal, A^T = ?

35

What is the result of A B if B = I?

36

The product of two diagonal matrices is?

37

Which matrix is always square?

38

What is the transpose of a diagonal matrix?

39

What does A^T A preserve for an orthogonal Q?

40

Largest class of matrices closed under addition?

41

What is the rank relationship under AB?

42

Which operation is associative?

43

Det(A^T) equals?

44

What is a skew-symmetric matrix's diagonal?

45

If A is skew-symmetric, what is A^T?

46

What is a property of diagonal matrices?

47

What does I A equal?

48

Which matrix is both diagonal and unit?

49

What is the result of A + (-A)?

50

What is the transpose of a sum?

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