Advertisements
Advertisements
Question
Show that `[(5, -1),(6, 7)][(2, 1),(3, 4)] ≠ [(2, 1),(3, 4)][(5, -1),(6, 7)]`
Advertisements
Solution
right side`[(2,1),(3,4)][(5,-1),(6,7)]`
`[(10 + 6, -2 + 7),(15 + 24, -3 + 28)] `
`= [(16, 5),(39, 25)]`
left side `[(5,-1),(6,7)][(2, 1),(3, 4)]`
`= [(10 - 3, 5 - 4),(12 + 21, 6 + 28)]`
` =[(7 , 1),(33, 34)]`
left side `ne` right side
APPEARS IN
RELATED QUESTIONS
If `A = [(1, 2, -3),(5, 0, 2),(1, -1, 1)], B = [(3, -1, 2),(4, 2, 5),(2, 0, 3)] and C = [(4, 1, 2),(0, 3, 2),(1, -2, 3)]` then compute (A + B) and (B – C). Also verify that A + (B – C) = (A + B) – C.
If ` A = [(2/3, 1, 5/3),(1/3, 2/3, 4/3),(7/3, 2, 2/3)]` and `B = [(2/5, 3/5, 1),(1/5, 2/5, 4/5),(7/5, 6/5, 2/5)]`, then compute 3A – 5B.
Show that `[(1, 2, 3),(0, 1, 0),(1, 1, 0)][(-1, 1, 0),(0, -1, 1),(2, 3, 4)] ≠ [(-1, 1, 0),(0, -1, 1),(2, 3, 4)][(1, 2, 3),(0, 1, 0),(1, 1, 0)]`
Find A2 – 5A + 6I, if A = `[(2, 0, 1),(2, 1, 3),(1, -1, 0)]`
The product of any matrix by the scalar ______ is the null matrix.
If A `= [(1,2),(2,1)]` and f(x) = (1 + x) (1 - x), then f(a) is ____________.
If A `= [(2"x", 0),("x","x")] "and A"^-1 = [(1,0),(-1,2)],` then x equals ____________.
If | A | = | kA |, where A is a square matrix of order 2, then sum of all possible values of k is ______.
What is scalar multiplication on matrices?
Let \[A=[a_{ij}]_{m\times n}\] be a matrix and \[k\] be a real number (scalar). Which expression defines the scalar multiple of \[A\] by \[k\]?
What happens to the order of a matrix after scalar multiplication?
How is the negative of a matrix \[A\], denoted by \[-A\], defined?
If \[A=[a_{ij}]\], which matrix is \[-A\]?
What is the result of adding a matrix to its negative?
Which formula expresses distributive over matrix addition?
Which formula expresses distributive over scalar addition?
Which formula expresses associative with respect to scalar multiplication?
What is the result of multiplication by \[1\] for a matrix \[A\]?
What is the result of multiplication by \[0\] for a matrix \[A\]?
Which equality represents multiplication by the negative scalar \[-1\]?
Given \[2\begin{bmatrix}x&5\\7&y-3\end{bmatrix}+\begin{bmatrix}3&-4\\1&2\end{bmatrix}=\begin{bmatrix}7&6\\15&14\end{bmatrix}\], what is the value of \[x\]?
Given \[2\begin{bmatrix}x&5\\7&y-3\end{bmatrix}+\begin{bmatrix}3&-4\\1&2\end{bmatrix}=\begin{bmatrix}7&6\\15&14\end{bmatrix}\], what is the value of \[y\]?
After scalar multiplication and matrix addition, which matrix is equal to \[\begin{bmatrix}7&6\\15&14\end{bmatrix}\] in the given equation?
