If A be any matrix of order 2x2 and its entries are {-1, 0, 1}, then find the total no. of matrices possible, such that |A| = 0.
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a 2 × 2 matrix, the total number of elements present are 4. Each element can be replaced with either 1 or 0. Thus, there are two ways of filling each of the four spaces.
Thus the total number of such matrices will be 2×2×2×2 = 2⁴ matrices.
Therefore, the number of possible matrix of 2×2 order with each entry as 0 or 1 is equal to 16.
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