If A3- 3-X3- 1-D3- 1 has infinite solutions- then rank A is

The correct option is B Rank of square matrix is less than equal to its order so, A_3 × 3 nbsp; is a square matrix.so, rank of A ⩽ 3 . ...

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Standard XII

Mathematics

Definition of Sets

If A3× 3.X3...

Question

If $A_{3 \times 3} . X_{3 \times 1} = D_{3 \times 1}$ has infinite solutions, then rank (A) is

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Solution

The correct option is B < 3
Rank of square matrix is less than equal to its order
so, $A_{3 \times 3}$ is a square matrix.
so, rank of $A ⩽ 3$ .

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If A3×3.X3×1=D3×1 has infinite solutions, then rank (A) is

The correct option is B < 3Rank of square matrix is less than equal to its order so, A3×3 is a square matrix.so, rank of A⩽3.

If $A_{3 \times 3} . X_{3 \times 1} = D_{3 \times 1}$ has infinite solutions, then rank (A) is

The correct option is B < 3
Rank of square matrix is less than equal to its order
so, $A_{3 \times 3}$ is a square matrix.
so, rank of $A ⩽ 3$ .