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· 291-295 · 296-300 · 301-305 · 306-310 · 311-315 · 316-320 · 321-325 · 326-330 · 331-335 · 336-340 · 341-345 ·The n × n matrix A = [aij] is called a diagonal matrix if aij = 0 when i ≠ j. Show that the product of two n × n diagonal matrices is again a diagonal matrix. Give a simple rule for determining this product.
Subject:
Math
Topic:
Discrete Structures
Posting ID:
105501
OTA ID:
105303
show that [2 3 -1] is the inverse of [7 -8 5 ] [1 2 1] [ -4 5 -3 ] [-1 -1 3] [1 -1 1 ]
Subject:
Math
Topic:
Discrete Structures
Posting ID:
105503
OTA ID:
105303
Let A be a 3 × 4 matrix. B be a 4 × 5 matrix, and C be a 4 × 4 matrix. Determine which of the following products are defined and find the size of those that are defined. a) AB b)BA c) AC d) CA e) BC f) CB keywords: multiplying, multiplication, matrices
Subject:
Math
Topic:
Discrete Structures
Posting ID:
105504
OTA ID:
105399
Discrete mathamatics proofs: induction, inclusion/exclusion principle, Pascal's formula
1. Please prove the following using induction. n choose 0 = n choose n = 1 for all n greater or equal to 0 n choose k = n – 1 choose k – 1 plus n – 1 choose k for all 0 < k < n; n greater than or equal to 0 2. Please prove using the Inclusion and Exclusion Principle. Patrons of a local bookstore can sign up for advance notification of new book arrivals in genres of interest. In the first month of this service, 32 sign up for mysteries, 34 for spy novels, 18 for westerns, and 41 for science fiction. Of these, 17 sign for both mysteries and spy novels, 8 for both mysteries and westerns, 19 for mysteries and science fiction, 5 for spy novels and westerns, 20 for spy novels ... click for more
Subject:
Math
Topic:
Discrete Structures
Posting ID:
105531
OTA ID:
105483
Matrices : Using Inverses to find a Multiplying (Multiplier) Matrix
Find the matrix A such that ┌ ┐ ┌ ┐ | 1 3 | | 6 5 | A | | = | | | 2 4 | | 1 2 | └ ┘ └ ┘
Subject:
Math
Topic:
Discrete Structures
Posting ID:
105799
OTA ID:
105303
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