Question

Let A be an nxn matrix. Determine whether the statement below is true or false. Justify the answer. The determinant of a triangular matrix is the sum of the entries on the main diagonal Choose the correct answer below.

A. The statement is true. Cofactor expansion along the row (or column) with the most zeros of a triangular matrix produces a determinant equal to the son of the tries to the radar
B. The statement is true. The determinant of A is the following finite series. n det A= (-1)* laj, det A1 J = 1 In a triangular matrix, this series simplifies to the sum of the entries along the main diagonal.
C. The statement is false. The determinant of a matrix is the arithmetic mean of the entries along the main diagonal OD The statement is false. The determinant of a triangular matrix is the product of the entries along the main diagonal

Answer 1

I feel like it’s a because Once you are able to recognize the mathematical pattern of the basic sentence, it is time to move up to the next linguistic equation: the paragraph. I recently opened a new writing class by asking students how many sentences comprise a paragraph. The answers came with as much confidence as they were varied: 3 to 5, 4 to 6, 6 to 8. Students looked at one another with surprise as they waited for me to validate the answer they were taught, but the truth is simple. An effective paragraph must have at least 2 sentences: (1) an effective topic sentence that states the purpose of the paragraph, and (2) clear and specific evidence to support that purpose. The choice between a single sentence providing evidence or multiple sentences providing evidence depends entirely on the writer’s purpose and audience. When we complicate the simple math with preferences like 4, 6, or 8, we muddle the simplicity of basic linguistic structure. Equation #2: a topic sentence + evidence = a paragraph. confidence as they were varied: 3 to 5, 4 to 6, 6 to 8. Students looked at one another with surprise as they waited for me to validate the answer they were taught, but the truth is simple. An effective paragraph must have at least 2 sentences: (1) an effective topic sentence that states the purpose of the paragraph, and (2) clear and specific evidence to support that purpose. The choice between a single sentence providing evidence or multiple sentences providing evidence depends entirely on the writer’s purpose and audience. When we complicate the simple math with preferences like 4, 6, or 8, we muddle the simplicity of basic linguistic structure. Equation #2: a topic sentence + evidence = a paragraph.