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Consider a 2 × 2 matrix M =[v1v2], where, v1 and v2 are the column vectors. Suppose  where uT1 and uT2 are the row vectors. Consider the following statements.
Statement: uT1v1 = 1 and uT2v2 = 1
Statement: uT1v2 = 0 and uT2v1 = 0
Which of the following options is correct?
  • a)
    Statement 1 is true and statement 2 is false
  • b)
    Statement 2 is true and statement 1 is false
  • c)
    Both the statements are true
  • d)
    Both the statements are false
Correct answer is option 'C'. Can you explain this answer?
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Consider a 2 × 2 matrixM =[v1v2], where, v1and v2are the column ...


Both the given statements are true.
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Consider a 2 × 2 matrixM =[v1v2], where, v1and v2are the column vectors. Supposewhere uT1and uT2are the row vectors. Consider the following statements.Statement: uT1v1= 1 and uT2v2= 1Statement: uT1v2= 0 and uT2v1= 0Which of the following options is correct?a)Statement 1 is true and statement 2 is falseb)Statement 2 is true and statement 1 is falsec)Both the statements are trued)Both the statements are falseCorrect answer is option 'C'. Can you explain this answer?
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