प्रश्नावली 3.4 प्रश्न संख्या 1 से 17 तक के आव्यूहों का व्युत्क्रम
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Questions and Answers

दिए गए आव्यूहों में से किसका व्युत्क्रम विद्यमान नहीं है?

  • 4 57
  • 1 3 7
  • 2 3 2 (correct)
  • 3 10 4

निम्नलिखित में से कौन सा आव्यूह का व्युत्क्रम शून्य होगा?

  • 2 3 2 (correct)
  • 7 25 5
  • 1 3 13
  • 2 4 25

$1 \begin{pmatrix} 3 & 13\ 0 & 0 \end{pmatrix}$ आव्यूह का व्युत्क्रम क्या होगा?

  • 3 × 13 × 0 = 0
  • 3 + 13 = 16 (correct)
  • 3 - 13 = -10
  • 3 × 13 = 39

निम्नलिखित में से कौन सा आव्यूह अल्पविमीय है?

<p>4 57 (B)</p> Signup and view all the answers

$\begin{pmatrix} 1 & 3\ 7 & 4 \end{pmatrix}$ आव्यूह का व्युत्क्रम क्या होगा?

<p>1 × 4 + 3 × 7 = 25 (C)</p> Signup and view all the answers

Flashcards

Inverse of a matrix

A matrix that, when multiplied with the original matrix, yields the identity matrix.

Zero determinant

A condition where a matrix has no inverse because it indicates linear dependence of rows or columns.

Rank of a matrix

The maximum number of linearly independent row or column vectors in the matrix.

Determinant calculation

A scalar value that represents the area or volume scaling factor of a linear transformation represented by the matrix.

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Small rank matrix

A matrix that does not have full rank, often leading to a determinant of zero.

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