6. (i) If (A=begin{bmatrix}cosα & sinα \ -sinα & cosα end{bmatrix}), then verify that A’A=I. (ii) If (A=begin{bmatrix}sinα
Category: Matrices
For the matrices A and B, verify that (AB)′ = B′A′, where (A=\begin{bmatrix}1 \ -4 \ 3
5. For the matrices A and B, verify that (AB)′ = B′A′, where (i) (A=begin{bmatrix}1 \ -4 \
If (A’=\begin{bmatrix}-2 & 3 \ 1 & 2 \end{bmatrix}) and (B=\begin{bmatrix}-1 & 0 \ 1 & 2 \end{bmatrix}), then find (A+2B)’.
4. If (A’=begin{bmatrix}-2 & 3 \ 1 & 2 end{bmatrix}) and (B=begin{bmatrix}-1 & 0 \ 1 & 2
If (A’=\begin{bmatrix}3 & 4 \ -1 & 2 \0 & 1\ then verify that (A+B)’=A’+B’
3. If (A’=begin{bmatrix}3 & 4 \ -1 & 2 \0 & 1end{bmatrix}) and (B=begin{bmatrix}-1 & 2 & 1
If (A=\begin{bmatrix}-1 & 2 & 3 \ 5 & 7 & 9 \-2 & 1 & 1 then verify that (A+B)’=A’+B’
2. If (A=begin{bmatrix}-1 & 2 & 3 \ 5 & 7 & 9 \-2 & 1 & 1end{bmatrix})
Find the transpose of each of the following matrices: (\begin{bmatrix}5 \ {1\over 2}\-1
1. Find the transpose of each of the following matrices: (i) (begin{bmatrix}5 \ {1over 2}\-1 end{bmatrix}) (ii) (begin{bmatrix}1
If n = p, then the order of the matrix 7X – 5Z is:
Assume X, Y, Z, W and P are matrices of order 2 × n, 3 × k, 2
The restriction on n, k and p so that PY + WY will be defined are:
Assume X, Y, Z, W and P are matrices of order 2 × n, 3 × k, 2
The bookshop of a particular school has 10 dozen chemistry books, 8 dozen physics books, 10 dozen economics books. Their selling prices are Rs 80
20. The bookshop of a particular school has 10 dozen chemistry books, 8 dozen physics books, 10 dozen economics
A trust fund has Rs 30,000 that must be invested in two different types of bonds. The first bond pays 5% interest per year
19. A trust fund has Rs 30,000 that must be invested in two different types of bonds. The