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+1 vote
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in Applications of Matrices and Determinants by (49.6k points)
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Find the rank of the following matrices by the minor method:

(i) \(\begin{bmatrix} 2 & -4 \\[0.3em] -1 &2 \end{bmatrix}\)

(ii) \(\begin{bmatrix} -1 & 3 \\[0.3em] 4 &-7\\ 3 & -4 \end{bmatrix}\)

(iii) \(\begin{bmatrix} 1 & -2&-1 &0 \\[0.3em] 3 &-6&-3&1 \end{bmatrix}\)

(iv) \(\begin{bmatrix} 1 & -2 &3\\[0.3em] 2 &4&-6\\5&1&-1 \end{bmatrix}\)

(v) \(\begin{bmatrix} 0 & 1&2&1 \\[0.3em] 0 &2&4&3\\8&1&0&2 \end{bmatrix}\)

1 Answer

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by (48.9k points)
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Best answer

(i) A = \(\begin{bmatrix} 2 & -4 \\[0.3em] -1 &2 \end{bmatrix}\)A is of order 2 x 2.

 

So p(A) = 3

So p(A) = 3

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