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(a) 1,2, ..., 16, i.e. such that the sum of all numbers in each row, each column and each diagonal is the same. What is the sum of all numbers in the first row? Suppose we want to make a magic 4 x 4 square with the numbers (Ъ) create a magic 4 × 4 square in such a way that the sum of all numbers in the first row is eaual to 30? (Hint: compare with part (a).) Do there exist 16 different strictly positive integers which we can use to (c) sides? If so, provide an example. If not, explain why not. Does there exist an equilateral triangle with rational area and irrational

(a) 1,2, ..., 16, i.e. such that the sum of all numbers in each row, each column and each diagonal is the same. What is the sum of all numbers in the first row? Suppose we want to make a magic 4 x 4 square with the numbers (Ъ) create a magic 4 × 4 square in such a way that the sum of all numbers in the first row is eaual to 30? (Hint: compare with part (a).) Do there exist 16 different strictly positive integers which we can use to (c) sides? If so, provide an example. If not, explain why not. Does there exist an equilateral triangle with rational area and irrational

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 9AEXP
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(а) 1, 2, ..., 16, i.e. such that the sum of all numbers in each row, each column and each diagonal is the same. What is the sum of all numbers in the first row? Suppose we want to make a magic 4 x 4 square with the numbers (Ъ) create a magic 4 × 4 square in such a way that the sum of all numbers in the first row is eaual to 30? (Hint: compare with part (a).) Do there exist 16 different strictly positive integers which we can use to (c) sides? If so, provide an example. If not, explain why not. Does there exist an equilateral triangle with rational area and irrational
Transcribed Image Text:(а) 1, 2, ..., 16, i.e. such that the sum of all numbers in each row, each column and each diagonal is the same. What is the sum of all numbers in the first row? Suppose we want to make a magic 4 x 4 square with the numbers (Ъ) create a magic 4 × 4 square in such a way that the sum of all numbers in the first row is eaual to 30? (Hint: compare with part (a).) Do there exist 16 different strictly positive integers which we can use to (c) sides? If so, provide an example. If not, explain why not. Does there exist an equilateral triangle with rational area and irrational
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