हिंदी

Event A: Order of matrix A is 3 × 5. Event B: Order of matrix B is 5 × 3. Event C: Order of matrix C is 3 × 3. Product of which two matrices gives a square matrix. - Mathematics

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प्रश्न

Event A: Order of matrix A is 3 × 5.

Event B: Order of matrix B is 5 × 3.

Event C: Order of matrix C is 3 × 3.

Product of which two matrices gives a square matrix.

विकल्प

  • AB and AC

  • AB and BC

  • BA and BC

  • AB and BA

MCQ

उत्तर

AB and BA

Explanation:

Given A is a matrix of order 3 × 5

B is a matrix of order 5 × 3

And C is a matrix of order 3 × 3

AB exists

∵ No. of columns in A

= No. of rows in B = 5

∴ AB is a square matrix of order 3 × 3

And BA is a square matrix of order 5 × 5

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