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Let v1, . . . , v9 be the column vectors of a non-zero 9 × 9 real matrix A. Let a1, . . . , a9 ∈ ℝ, not all zero, be such that 
Then the system Ax = 
has
Then the system Ax = has- a)no solution
- b)a unique solution
- c)more than one but only finitely many solutions
- d)infinitely many solutions
Correct answer is option 'D'. Can you explain this answer?
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Let v1, . . . , v9be the column vectors of a non-zero 9 × 9 real...
v1, . . . , vn be the column vectors of a non-zero n × n real matrix A. Let a1, . . . , an ∈ ℝ, not all zero, be such that 
that means v1, . . . , vn are Linearly independent.
In the system of equations when the system is L.I. then rank (A) = number of unknowns then it has a unique solution.
if at least one ���� not equal to zero vector(s) are Linearly dependent.
In the system of equations when rank of A < n then it has infinitely many solution(s)
Here, given that ,
where all ���� are not zero Hence vectors are linearly dependent
When vectors are Linearly independent then in system
rank of A is less than 9 (number of column vectors )
Hence, it has infinitely many solutions.
Therefore, the Correct Option is Option (4).
that means v1, . . . , vn are Linearly independent.
In the system of equations when the system is L.I. then rank (A) = number of unknowns then it has a unique solution.
if at least one ���� not equal to zero vector(s) are Linearly dependent.
In the system of equations when rank of A < n then it has infinitely many solution(s)
Here, given that ,
where all ���� are not zero Hence vectors are linearly dependent When vectors are Linearly independent then in system
rank of A is less than 9 (number of column vectors )Hence, it has infinitely many solutions.
Therefore, the Correct Option is Option (4).
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Let v1, . . . , v9be the column vectors of a non-zero 9 × 9 real matrix A. Let a1, . . . , a9∈ ,not all zero, be such thatThen the system Ax =hasa)no solutionb)a unique solutionc)more than one but only finitely many solutionsd)infinitely many solutionsCorrect answer is option 'D'. Can you explain this answer?
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Let v1, . . . , v9be the column vectors of a non-zero 9 × 9 real matrix A. Let a1, . . . , a9∈ ,not all zero, be such thatThen the system Ax =hasa)no solutionb)a unique solutionc)more than one but only finitely many solutionsd)infinitely many solutionsCorrect answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Let v1, . . . , v9be the column vectors of a non-zero 9 × 9 real matrix A. Let a1, . . . , a9∈ ,not all zero, be such thatThen the system Ax =hasa)no solutionb)a unique solutionc)more than one but only finitely many solutionsd)infinitely many solutionsCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let v1, . . . , v9be the column vectors of a non-zero 9 × 9 real matrix A. Let a1, . . . , a9∈ ,not all zero, be such thatThen the system Ax =hasa)no solutionb)a unique solutionc)more than one but only finitely many solutionsd)infinitely many solutionsCorrect answer is option 'D'. Can you explain this answer?.
Let v1, . . . , v9be the column vectors of a non-zero 9 × 9 real matrix A. Let a1, . . . , a9∈ ,not all zero, be such thatThen the system Ax =hasa)no solutionb)a unique solutionc)more than one but only finitely many solutionsd)infinitely many solutionsCorrect answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Let v1, . . . , v9be the column vectors of a non-zero 9 × 9 real matrix A. Let a1, . . . , a9∈ ,not all zero, be such thatThen the system Ax =hasa)no solutionb)a unique solutionc)more than one but only finitely many solutionsd)infinitely many solutionsCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let v1, . . . , v9be the column vectors of a non-zero 9 × 9 real matrix A. Let a1, . . . , a9∈ ,not all zero, be such thatThen the system Ax =hasa)no solutionb)a unique solutionc)more than one but only finitely many solutionsd)infinitely many solutionsCorrect answer is option 'D'. Can you explain this answer?.
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