Question:
If A = $\begin{bmatrix}1 & 1 \\1 & 1 \end{bmatrix}$ then $A^{10}$ is equal to
If A = $\begin{bmatrix}1 & 1 \\1 & 1 \end{bmatrix}$ then $A^{10}$ is equal to
Updated On: Apr 9, 2025
- $2^8 A $
- $2^9 A $
- $2^{10} A $
- $2^{11} A $
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
The correct answer is Option (B) : $2^9 A $
Was this answer helpful?
1
0
Top Questions on Matrix
- If \( A = \begin{bmatrix} 1 & 0 \\ -1 & 5 \end{bmatrix} \), then find the value of \( K \) if \( A^2 = 6A + K I_2 \), where \( I_2 \) is the identity matrix.
- Find the value of $x$, if \[ \begin{bmatrix} 1 & 3 & 2 \\ 2 & 5 & 1 \\ 15 & 3 & 2 \end{bmatrix} \begin{bmatrix} 1 \\ x \\ 2 \end{bmatrix} = \begin{bmatrix} 0 \\ 0 \\ 0 \end{bmatrix} \]
- If \( A = \begin{pmatrix} 1 & -1 \\ 2 & 3 \end{pmatrix} \) is a \( 2 \times 2 \) matrix, then the eigenvalues of the matrix \( 2A^2 - 4A + 5I \) are ______, where \( I \) is the \( 2 \times 2 \) unit matrix.
- Let \( A \) be a \(3 \times 3\) matrix and \( B = 2A^2 + A^{-1} - I \), where \( I \) is a \(3 \times 3\) identity matrix. If the eigenvalues of \( A \) are 1, –1 and 2, then the trace of \( B \) is ________
- Let \( A = \begin{bmatrix} a+1 & b & c \\ a & b+1 & c \\ a & b & c+1 \end{bmatrix} \). If determinant of the matrix \( A \) is zero, then \( (a + b + c)^3 = \_\_\_\_\_\_ \)
View More Questions
Questions Asked in KCET exam
- Which of the following methods of expressing concentration are unitless?
- KCET - 2025
- Expressing Concentration of Solutions
- The correct statement/s about Galvanic cell is/are:
(a) Current flows from cathode to anode
(b) Anode is positive terminal
(c) If \(E_{\text{cell}} < 0\), then it is spontaneous reaction
(d) Cathode is positive terminal- KCET - 2025
- Electrochemistry
- A member of the Lanthanoid series which is well known to exhibit +4 oxidation state is
- KCET - 2025
- Classical Idea Of Redox Reactions – Oxidation And Reduction Reactions
- A potential at a point A is 3 V and that at another point B is 5 V. What is the work done in carrying a charge of 5 mC from B to A?
- KCET - 2025
- Electric Field
- A square loop of side 2 m lies in the Y-Z plane in a region having a magnetic field \(\mathbf{B} = (5 \hat{i} - 3 \hat{j} - 4 \hat{k}) \, \text{T}\). The magnitude of magnetic flux through the square loop is
- KCET - 2025
- Magnetic Field
View More Questions