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Questions and Answers
What is an n ⇥ n matrix B called if AB = BA = In?
What is an n ⇥ n matrix B called if AB = BA = In?
- Singular
- Identity
- Trivial
- Nonsingular (correct)
How is the inverse of a matrix A denoted?
How is the inverse of a matrix A denoted?
- A*
- A^T
- A^-1 (correct)
- A'
Which statement is equivalent to the invertibility of a matrix A?
Which statement is equivalent to the invertibility of a matrix A?
- The reduced echelon form of A is In
- Ax = 0 has only the trivial solution
- det(A) 6= 0 (correct)
- The column vectors of A span Rn
What happens if a matrix has no inverse?
What happens if a matrix has no inverse?
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How many inverses can a matrix have?
How many inverses can a matrix have?
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What does (AT )1 = (A1)T represent?
What does (AT )1 = (A1)T represent?
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When can Ax = b be consistent for every n ⇥ 1 matrix b?
When can Ax = b be consistent for every n ⇥ 1 matrix b?
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What does I1 n = In denote?
What does I1 n = In denote?
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What does it mean when the row vectors of a matrix are linearly independent?
What does it mean when the row vectors of a matrix are linearly independent?
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What is a matrix called if it is row equivalent to the identity matrix In?
What is a matrix called if it is row equivalent to the identity matrix In?
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