हिंदी

Determine the Product Matrix`[(-4,4,4),(-7,1,3),(5,-3,-1)][(1,-1,1),(1,-2,-2),(2,1,3)]` and Use It to Solve the System of Equations X - Y + Z = 4, X- 2y- 2z = 9, 2x + Y + 3z = 1 - Mathematics

Advertisements
Advertisements

प्रश्न

Determine the product `[(-4,4,4),(-7,1,3),(5,-3,-1)][(1,-1,1),(1,-2,-2),(2,1,3)]` and use it to solve the system of equations x - y + z = 4, x- 2y- 2z = 9, 2x + y + 3z = 1.

उत्तर

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
2016-2017 (March) All India Set 1

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

If for any 2 x 2 square matrix A, `A("adj"  "A") = [(8,0), (0,8)]`, then write the value of |A|


`A = [a_(ij)]_(mxxn)` is a square matrix, if ______.


if A = [(1,1,1),(1,1,1),(1,1,1)], Prove that A" = `[(3^(n-1),3^(n-1),3^(n-1)),(3^(n-1),3^(n-1),3^(n-1)),(3^(n-1),3^(n-1),3^(n-1))]` `n in N`


if `A = [(3,-4),(1,-1)]` then prove A"=` [(1+2n, -4n),(n, 1-2n)]` where n is any positive integer


Given two matrices A and B 

`A = [(1,-2,3),(1,4,1),(1,-3, 2)]  and B  = [(11,-5,-14),(-1, -1,2),(-7,1,6)]`

find AB and use this result to solve the following system of equations:

x - 2y + 3z = 6, x + 4x + z = 12, x - 3y + 2z = 1


If 𝒙 = r cos θ and y= r sin θ prove that JJ-1=1.


If liminii = 1, 2, 3 denote the direction cosines of three mutually perpendicular vectors in space, prove that AAT = I, where \[A = \begin{bmatrix}l_1 & m_1 & n_1 \\ l_2 & m_2 & n_2 \\ l_3 & m_3 & n_3\end{bmatrix}\]


If\[A = \begin{bmatrix}2 & 3 \\ 4 & 5\end{bmatrix}\]prove that A − AT is a skew-symmetric matrix.


Show that (A + A') is symmetric matrix, if `A = ((2,4),(3,5))`


Classify the following matrix as, a row, a column, a square, a diagonal, a scalar, a unit, an upper triangular, a lower triangular, a symmetric or a skew-symmetric matrix:

`[9   sqrt(2)  -3]`


Classify the following matrix as, a row, a column, a square, a diagonal, a scalar, a unit, an upper triangular, a lower triangular, a symmetric or a skew-symmetric matrix:

`[(0, 0, 1),(0, 1, 0),(1, 0, 0)]`


Identify the following matrix is singular or non-singular?

`[(7, 5),(-4, 7)]`


If A = `[(5, 1, -1),(3, 2, 0)]`, Find (AT)T.


Construct the matrix A = [aij]3 × 3 where aij = i − j. State whether A is symmetric or skew-symmetric.


If A = `[(6, 0),("p", "q")]` is a scalar matrix, then the values of p and q are ______ respectively.


If A is a square matrix of order 2 such that A(adj A) = `[(7, 0),(0, 7)]`, then |A| = ______


Given A = `[(2, 4, 0),(3, 9, 6)]` and B = `[(1, 4),(2, 8),(1, 3)]` is (AB)′ = B′A′? 


A square matrix A = [aij]nxn is called a diagonal matrix if aij = 0 for ____________.


If A is a square matrix, then A – A’ is a ____________.


If A `= [("cos x", - "sin x"),("sin x", "cos x")]`, find AAT.


The matrix `[(0,5,-7),(-5,0,11),(7,-11,0)]` is ____________.


A matrix is said to be a column matrix if it has


A square matrix B = [bÿ] m × m is said to be a diagonal matrix if all diagonal elements are


If all the elements are zero, then matrix is said to be


A = `[a_(ij)]_(m xx n)` is a square matrix, if


The number of all possible matrices of order 3/3, with each entry 0 or 1 is


If 'A' is square matrix, such that A2 = A, then (7 + A)3 = 7A is equal to


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×