Category Matrices

8. (A = {[a_{ij}]}_{m×n}) is a square matrix, if (A) m < n(B) m > n(C) m = n(D) None of these Previous Next Matrices Exercise 3.1 1. In the matrix (A=begin{bmatrix}2 & 5 & 19 & -7 \ 35…

7. Find the value of a, b, c and d from the equation : (begin{bmatrix}a-b & 2a+c \ 2a-b & 3c+d end{bmatrix})=(begin{bmatrix}-1 & 5 \ 0 & 13 end{bmatrix}) Previous Next Matrices Exercise 3.1 1. In the matrix (A=begin{bmatrix}2 &…

6. Find the values of x, y and z from the following equations : Previous Next Matrices Exercise 3.1 1. In the matrix (A=begin{bmatrix}2 & 5 & 19 & -7 \ 35 & -2 &  5over 2 & 12 \…

5. Construct a 3 × 4 matrix, whose elements are given by : (i) (a_{ij}={1 over 2}|-3i+j|) (ii) (a_{ij}={2i-j}) Previous Next Matrices Exercise 3.1 1. In the matrix (A=begin{bmatrix}2 & 5 & 19 & -7 \ 35 & -2 &  5over…

4. Construct a 2 × 2 matrix, (A=[a_{ij}]), whose elements are given by : (i) (a_{ij}={{(i+j)^2} over 2}) (ii) (a_{ij}={i over j}) (iii) (a_{ij}={{(i+2j)^2} over 2}). Previous Next Matrices Exercise 3.1 1. In the matrix (A=begin{bmatrix}2 & 5 & 19 &…

3. If a matrix has 18 elements, what are the possible orders it can have? What, if it has 5 elements? Previous Next Matrices Exercise 3.1 1. In the matrix (A=begin{bmatrix}2 & 5 & 19 & -7 \ 35 &…

2. If a matrix has 24 elements, what are the possible orders it can have? What, if it has 13 elements? Previous Next Matrices Exercise 3.1 1. In the matrix (A=begin{bmatrix}2 & 5 & 19 & -7 \ 35 &…

1. In the matrix (A=begin{bmatrix}2 & 5 & 19 & -7 \ 35 & -2 &  5over 2 & 12 \ sqrt{3} & 1 & -5 & 17 end{bmatrix}), write : (i) The order of the matrix (ii) The number…