Somene please explain to me, and show me how to do the following :
Convert the following numbers to denary (base 10):
1) 736_8 (that's 736, base-8)
2) DE1_16 (that's DE1, base-16)
3) 1100101_2 (that's 1100101, base 2)
Using the following matrix X:
. . .[..2 1..3 ]
. . .[ -1 3..0 ]
. . .[..2 4 -2 ]
4) Evaluate the matrix Y = X^t (that's X-transpose).
5) S = |X|
6) Using the following matrix A:
. . .[..1 3 0 ]
. . .[ -1 2 1 ]
. . .[..3 1 2 ]
Evaluate the polynomial Y = A^3 - 3A^2
7) Obtain the solution to the set of linear equations using Cramer's Rule.
. . .2x - 3y + 1z = 4
. . .1x + 1y + 1z = 3
. . .1x + 4y - 3z = -3
So is that then:
. . .| 2 -3..1..4 |
. . .| 1..1.. 1..3 |
. . .| 1.. 4 -3 -3 |
8) Use Gaussian elimination to find the inverse of the matrix Q, where Q is:
. . .[..1..2 1 ]
. . .[ -3 -4 1 ]
. . .[..4..6 4 ]
_________________________________
Edited by stapel -- Reason for edit: fixing formatting
Convert the following numbers to denary (base 10):
1) 736_8 (that's 736, base-8)
2) DE1_16 (that's DE1, base-16)
3) 1100101_2 (that's 1100101, base 2)
Using the following matrix X:
. . .[..2 1..3 ]
. . .[ -1 3..0 ]
. . .[..2 4 -2 ]
4) Evaluate the matrix Y = X^t (that's X-transpose).
5) S = |X|
6) Using the following matrix A:
. . .[..1 3 0 ]
. . .[ -1 2 1 ]
. . .[..3 1 2 ]
Evaluate the polynomial Y = A^3 - 3A^2
7) Obtain the solution to the set of linear equations using Cramer's Rule.
. . .2x - 3y + 1z = 4
. . .1x + 1y + 1z = 3
. . .1x + 4y - 3z = -3
So is that then:
. . .| 2 -3..1..4 |
. . .| 1..1.. 1..3 |
. . .| 1.. 4 -3 -3 |
8) Use Gaussian elimination to find the inverse of the matrix Q, where Q is:
. . .[..1..2 1 ]
. . .[ -3 -4 1 ]
. . .[..4..6 4 ]
_________________________________
Edited by stapel -- Reason for edit: fixing formatting