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Let A be a 3 × 3 matrix with rank 2. Then AX = 0 has 
  • a)
    Only the trivial solution X = 0
  • b)
    One independent solution
  • c)
    Two independent solutions
  • d)
    Three independent solutions
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Let A be a 3 × 3 matrix with rank 2. Then AX = 0 hasa)Only the t...
We know , rank (A) + Solution space X(A) = no. of unknowns.
⇒ 2 + X(A) = 3. [Solution space X(A)= No. of linearly independent vectors]
⇒ X(A) =1.
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Community Answer
Let A be a 3 × 3 matrix with rank 2. Then AX = 0 hasa)Only the t...
Sorry, but I can't generate a response without a complete question. Could you please provide more information or complete the question?
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Let A be a 3 × 3 matrix with rank 2. Then AX = 0 hasa)Only the trivial solution X = 0b)One independent solutionc)Two independent solutionsd)Three independent solutionsCorrect answer is option 'B'. Can you explain this answer?
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