(a12)2/3 = (b-56)1/7
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Answer:
(ii) A matrix is said to be a column matrix if it has only one column.
(iii) A matrix in which the number of rows are equal to the number of columns,
is said to be a square matrix. Thus, an m × n matrix is said to be a square
matrix if m = n and is known as a square matrix of order ‘n’.
(iv) A square matrix B = [bij]
n×n
is said to be a diagonal matrix if its all non
diagonal elements are zero, that is a matrix B = [bij]
n×n
is said to be a
diagonal matrix if bij = 0, when i ≠ j.
(v) A diagonal matrix is said to be a scalar matrix if its diagonal elements are
equal, that is, a square matrix B = [bij]
n×n
is said to be a scalar matrix if
bij = 0, when i ≠ j
bij = k, when i = j, for some constant k. (vi) A square matrix in which elements in the diagonal are all 1 and rest are
all zeroes is called an identity matrix.
In other words, the square matrix A = [aij]
n×n
is an identity matrix, if
aij = 1, when i = j and aij = 0, when i ≠ j. (vii) A matrix is said to be zero matrix or null matrix if all its elements are
zeroes. We denote zero matrix by O.
(ix) Two matrices A = [aij] and B = [bij] are said to be equal if
(a) they are of the same order, and
(b) each element of A is equal to the corresponding element of B, that is,
aij = bij for all i and j. 3.1.4 Additon of Matrices
Two matrices can be added if they are of the same order.
3.1.5 Multiplication of Matrix by a Scalar
If A = [aij] m×n
is a matrix and k is a scalar,