Advertisements
Advertisements
प्रश्न
If `[[3x,7],[-2,4]]=[[8,7],[6,4]]`, find the value of x
उत्तर
`[[3x,7],[-2,4]]=[[8,7],[6,4]]`
⇒12x+14=32−42
⇒12x+14=−10
⇒12x=−24
⇒x=−2
Hence, the value of x = −2.
APPEARS IN
संबंधित प्रश्न
Write the element a12 of the matrix A = [aij]2 × 2, whose elements aij are given by aij = e2ix sin jx.
Find the maximum value of `|(1,1,1),(1,1+sintheta,1),(1,1,1+costheta)|`
If a matrix has 8 elements, what are the possible orders it can have? What if it has 5 elements?
Let A be a matrix of order 3 × 4. If R1 denotes the first row of A and C2 denotes its second column, then determine the orders of matrices R1 and C2
If A = [aij] =`[[2,3,-5],[1,4,9],[0,7,-2]]`and B = [bij] `[[2,-1],[-3,4],[1,2]]`
then find (i) a22 + b21 (ii) a11 b11 + a22 b22
Construct a 2 × 2 matrix whose elements aij are given by:
`aij=(i-j)^2/2`
Construct a 2 × 2 matrix whose elements aij are given by:
`a_(ij)= (2i +j)^2/2`
Construct a 3 × 4 matrix A = [ajj] whose elements ajj are given by:
ajj = i − j
Construct a 4 × 3 matrix whose elements are
`a_(ij)=2_i+ i/j`
The sales figure of two car dealers during January 2013 showed that dealer A sold 5 deluxe, 3 premium and 4 standard cars, while dealer B sold 7 deluxe, 2 premium and 3 standard cars. Total sales over the 2 month period of January-February revealed that dealer A sold 8 deluxe 7 premium and 6 standard cars. In the same 2 month period, dealer B sold 10 deluxe, 5 premium and 7 standard cars. Write 2 × 3 matrices summarizing sales data for January and 2-month period for each dealer.
If A = diag (a, b, c), show that An = diag (an, bn, cn) for all positive integer n.
The cooperative stores of a particular school has 10 dozen physics books, 8 dozen chemistry books and 5 dozen mathematics books. Their selling prices are Rs. 8.30, Rs. 3.45 and Rs. 4.50 each respectively. Find the total amount the store will receive from selling all the items.
If A and B are symmetric matrices, then write the condition for which AB is also symmetric.
If B is a skew-symmetric matrix, write whether the matrix AB AT is symmetric or skew-symmetric.
If B is a symmetric matrix, write whether the matrix AB AT is symmetric or skew-symmetric.
If A is a skew-symmetric and n ∈ N such that (An)T = λAn, write the value of λ.
If A is a skew-symmetric matrix and n is an even natural number, write whether An is symmetric or skew symmetric or neither of these two.
Matrix A = \[\begin{bmatrix}0 & 2b & - 2 \\ 3 & 1 & 3 \\ 3a & 3 & - 1\end{bmatrix}\] is given to be symmetric, find values of a and b.
`If A = ([3 5] , [7 9])` is written as A = P + Q, where as A = p + Q , Where P is a symmetric matrix and Q is skew symmetric matrix , then wqrite the matrix P.
If \[A = \begin{bmatrix}5 & x \\ y & 0\end{bmatrix}\] and A = AT, then
Find a matrix A such that 2A − 3B + 5C = 0, where B =`[(-2, 2, 0), (3, 1, 4)] and "C" = [(2, 0, -2),(7, 1, 6)]`.