Discrete Mathematics Answers

Given

[1 1 -1]

A=[2 2 3]

[4 0 0]

[1 1 -1]

b=[2 2 3]

[4 0 0]

1.Find –A^-1+ 3B^T

2.Find B^-1+ ( A^T+A^-1)

Solve for the determinant in the equation below

2 −2 1

2 2 1

4 1 3

  Find the product of 10101₂ and 101₂.  

1. Convert 172 to the following equivalences:

octal

hexadecimal

Show ALL working

1.  Convert the following to their decimal equivalence:

2022₈

ACE₁₆

1.  Convert the following to their binary equivalence:

635₈

FAB5₁₆

Convert the decimal fraction 55.231₁₀ to its binary equivalence.

1. Find the product of 10101₂ and 101₂. 

Show ALL working.

Determine whether ( 𝑝∨𝑞)∧(𝑝→𝑟)∧( 𝑞→𝑠)→𝑟∨𝑠 is a Tautology or a contradiction using a truth table

Give full truth table

Prove for every integer n, n4 has the form 8m or 8m + 1 for some integer m. Hint: Use 2 cases.