#math question

Matrices and Determinants 3

Which of the following conditions holds true for a skew-symmetric matrix?

Understanding this is easy: using formula we get A = -A’. Calculation gives this directly, check steps: apply rule, substitute values, simplify to get A = -A’.

Ref: NCERT Mathematics Class XII — Matrices and Determinants

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Matrices and Determinants 3

Which of the following condition is incorrect for matrix multiplication?

Here's the idea in simple terms: using formula we get AB = BA. Calculation gives this directly, check steps: apply rule, substitute values, simplify to get AB = BA.

Ref: NCERT Mathematics Class XII — Matrices and Determinants

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Matrices and Determinants 2

What is the minor, M₂₃ of bmatrix 0 & 4 & 6 -4 & 0&-2 -6& 2 & 0 bmatrix

Simply put, using formula we get 24. Calculation gives this directly, check steps: apply rule, substitute values, simplify to get 24.

Ref: NCERT Mathematics Class XII — Matrices and Determinants

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Coordinate Geometry

The area of triangle with vertices (K, 0), (4, 0), (0, 2) is 4 square units, then value of K is

Applying the basic concept, complete solution: write formula, plug data, do arithmetic. Final value matches 0 or 8. Simple and accurate.

Ref: NCERT Mathematics Class XI — Coordinate Geometry

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