Answer and provide an explanation. 1. Which of the following statements about matrices is always TRUE? a. A triangular matrix is a diagonal matrix. b. An identity matrix is a scalar matrix c. A skew symmetric matrix is a symmetric matrix.

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Answer and provide an explanation.
1. Which of the following statements about matrices is always TRUE?
a. A triangular matrix is a diagonal matrix.
b. An identity matrix is a scalar matrix
c. A skew symmetric matrix is a symmetric matrix.
d. A symmetric matrix is a diagonal matrix.

2. Which of the following statements about matrices is FALSE?
a. Row equivalent matrices are equal matrices.
b. The inverse of an invertible diagonal matrix is also a diagonal matrix.
c. The transpose of a symmetric matrix A is equal to A.
d. Matrix addition can only be performed in matrices of the same order.

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