Advertisements
Advertisements
प्रश्न
Construct a matrix A = `[a_("ij")]_(3 xx 2)` whose element aij is given by
aij = `(i + j)^3/(5)`
उत्तर
aij = `(i + j)^3/(5)`
∴ a11 =`(1 + 1)^3/(5) = (2^3)/(5) = (8)/(5), a_12 = (1 + 2)^3/(5) = (3^3)/(5) = (27)/(5)`
a21 = `(2 + 1)^3/(5) = (3^3)/(5) = (27)/(5), a_22 = (2 + 2)^3/(5) = (4^3)/(5) = (64)/(5)`
a31 = `(3 + 1)^3/(5) = (4^3)/(5) = (64)/(5), a_32 = (3 + 2)^3/(5) = (5^3)/(5) = (125)/(5)`
∴ A = `[((8)/(5), (27)/(5)),((27)/(5), (64)/(5)),((64)/(5), 25)]`
APPEARS IN
संबंधित प्रश्न
Construct a matrix A = `[a_("ij")]_(3 xx 2)` whose element aij is given by
aij = `((i - j)^2)/(5 - i)`
Construct a matrix A = `[a_("ij")]_(3 xx 2)` whose element aij is given by
aij = i – 3j
Classify each of the following matrices as a row, a column, a square, a diagonal, a scalar, a unit, an upper traingular, a lower triangular matrix.
`[(3, -2, 4),(0, 0, -5),(0, 0, 0)]`
Classify each of the following matrices as a row, a column, a square, a diagonal, a scalar, a unit, an upper traingular, a lower triangular matrix.
`[(5),(4),(-3)]`
Classify each of the following matrices as a row, a column, a square, a diagonal, a scalar, a unit, an upper traingular, a lower triangular matrix.
`[9 sqrt(2) -3]`
Classify each of the following matrices as a row, a column, a square, a diagonal, a scalar, a unit, an upper traingular, a lower triangular matrix.
`[(6, 0),(0, 6)]`
Classify each of the following matrices as a row, a column, a square, a diagonal, a scalar, a unit, an upper traingular, a lower triangular matrix.
`[(2, 0, 0),(3, -1, 0),(-7, 3, 1)]`
Classify each of the following matrices as a row, a column, a square, a diagonal, a scalar, a unit, an upper traingular, a lower triangular matrix.
`[(3, 0, 0),(0, 5, 0),(0, 0, 1/3)]`
Which of the following matrices are singular or non singular?
`[("a", "b", "c"),("p", "q", "r"),(2"a" - "p", 2"b" - "q", 2"c" - "r")]`
Which of the following matrices are singular or non singular?
`[(5, 0, 5),(1, 99, 100),(6, 99, 105)]`
Which of the following matrices are singular or non singular?
`[(3, 5, 7),(-2, 1, 4),(3, 2, 5)]`
Find K if the following matrices are singular.
`[("K"-1, 2, 3),(3, 1, 2),(1, -2, 4)]`
Choose the correct alternative.
If A = diag [d1, d2, d3,...,dn], where di ≠ 0, for i = 1, 2, 3,...,n, then A–1 = _______
State whether the following is True or False :
If AB and BA both exist, then AB = BA.
