Advertisements
Advertisements
प्रश्न
If `M xx [(3, 2),(-1, 0)] = [(3, -1)]`, the order of matrix M is ______.
विकल्प
2 × 2
2 × 1
1 × 2
1 × 3
Advertisements
उत्तर
If `M xx [(3, 2),(-1, 0)] = [(3, -1)]`, the order of matrix M is 1 × 2.
Explanation:
Order of matrix on R.H.S = 1 × 2
Let M be a matrix of order m × n
And N = `[(3, 2),(-1, 0)]` is a matrix of order 2 × 2
Since MN = `[(3, -1)]_(1 xx 2)`
Now MN exists
If No. of columns in M = No. of rows in N
`\implies` n = 2
∴ MN is a matrix of order m × 2
`\implies` m = 1
Thus, M is a matrix of order m × n i.e. 1 × 2
संबंधित प्रश्न
State, whether the following statement is true or false. If false, give a reason.
Transpose of a 2 × 1 matrix is a 2 × 1 matrix.
If `A = [(2),(5)], B = [(1),(4)]` and `C = [(6),(-2)]`, find A + B – C
Wherever possible, write the following as a single matrix.
`[(0, 1, 2),(4, 6, 7)] + [(3, 4),(6, 8)]`
Find x and y from the given equations:
`[(-8, x)] + [(y, -2)] = [(-3, 2)]`
Classify the following matrix :
`|(800),(521)|`
Solve the equations x + y = 4 and 2x - y = 5 using the method of reduction.
If A = `[(1,2,3), (2,k,2), (5,7,3)]` is a singular matrix then find the value of 'k'.
`[(3),(0),(-1)]`
Construct a matrix A = [aij]3 × 2 whose element aij is given by
aij = `(("i" + "j")^3)/5`
If A is a matrix of order m × 3, B is a matrix of order 3 × 2 and R is a matrix of order 5 × n such that AB = R, the value of m and n are ______.
