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Question

If each element of a matrix is zero, then the matrix is:

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
null

To determine the type of matrix in which each element is zero, let's explore the concept of matrices:

  • Null Matrix: A matrix is termed a null matrix or zero matrix if all of its elements are zero. This is the definition that best matches the description given in the question.
  • Identity Matrix: An identity matrix is a square matrix in which all the elements of the principal diagonal are ones and all other elements are zero.
  • Scalar Matrix: A scalar matrix is a diagonal matrix wherein all the elements on the diagonal are the same non-zero number, and other elements are zero.
  • Square Matrix: A matrix is a square matrix if it has the same number of rows and columns. It does not require the elements to be zero.

From the above definitions, it is clear that a matrix where each element is zero is called a null matrix.

The correct answer is: null

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