Let A be a 5 x 7 matrix. Which of the following conditions must be true for \(A)? Select all the correct options. rank(A) ≤ 5 ker(A) = {0} A = always have infinitely many solutions. O If rank(A) = 5, then A is invertible.

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Let A be a 5 x 7 matrix. Which of the following conditions must be true for \(A)?
Select all the correct options.
rank(A) ≤ 5
ker(A) = {0}
A = always have infinitely many solutions.
O
If rank(A) = 5, then A is invertible.
Transcribed Image Text:Let A be a 5 x 7 matrix. Which of the following conditions must be true for \(A)? Select all the correct options. rank(A) ≤ 5 ker(A) = {0} A = always have infinitely many solutions. O If rank(A) = 5, then A is invertible.
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