Multiply a Matrix by a Scalar
Read this topicExplanations 4
- Multiplying Matrices by Scalars A scalar is a dimensionless number; matrices can be multiplied by scalars. To multiply a matrix by a scalar, simply multiply each entry in the ma…
By Hannah Bonville, Alex Federspiel, Liza Sulkin, Sarah Walker
- Scalar Multiplication: Example Here, a scalar is a dimensionless number. This means we can multiply any matrix, regardless of its dimensions, by a scalar. To do so, you simply "…
By Christine, Liza Sulkin, Sarah Walker, Anusha Rahman
- (Video) Scalar Multiplication of Matrices by Don't Memorise This video by Don't Memorise explains what scalar multiplication is for matrices. Summary Scalar multiplication is wh…
By Anusha Rahman
- Multiply a Matrix by a Scalar To multiply a matrix by a scalar, we multiply each entry in the matrix by the value of the scalar. This is called scalar multiplication. The scalar…
By Anusha Rahman
Problems 20
- Compute
- Suppose for some scalar α\alphaα. What is α\alphaα?
- Problem #7307
- Find:
- Consider the matrices: Find 4A−B+2C4A-B+2C4A−B+2C.
- Identify the matrix and the scalar in the following expression:
- Decode the message by solving the matrix.
- Let and . Find 3B−A3B-A3B−A.
- Let and . Find 5A−B5A-B5A−B.
- Say inflation occurs and the price of notebooks and pencils doubles! What would the new matrix look like?
- Find:
- Can you figure out what xxx and yyy are? [x25y]×4=[2882040]\begin{bmatrix} x&2\\ 5&y \end{bmatrix} \times 4 = \begin{bmatrix} 28&8\\ 20&40 \end{bmatrix}[x52y]×4=[2820840]
- [61218243036]\begin{bmatrix} 6&12&18\\ 24&30&36 \end{bmatrix}[62412301836] Which of the following matrices can be multiplied by a scalar to become the matrix above? Choose al…
- Compute:
- What are aaa and bbb? Express them in terms of xxx.
- What is xxx?
- What is xxx?
- Is multiplying a matrix by a scalar commutative?
- Which of the following are equivalent?
- What dimension must a scalar have to be multiplied by an mmm-by-nnn matrix?