4.2 Matrix Multiplication Warm-up (IN) Give the dimensions of each matrix. Identify the entry at...

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4.2 Matrix Multiplication Warm-up (IN) Give the dimensions of each matrix. Identify the entry at each location of the matrix. Learning Objective: to multiply two matrices and to use matrix multiplication to solve mathematical and real-world problems. 5 0 7 11 1. 0 3 7 19 15 7 2. 10 9 6 6 7 0 13 2 4 2 12 1 10 12 3. b 21 4. b 32 5. b 2x4 3x2 0 -2 1

Transcript of 4.2 Matrix Multiplication Warm-up (IN) Give the dimensions of each matrix. Identify the entry at...

  • Slide 1
  • 4.2 Matrix Multiplication Warm-up (IN) Give the dimensions of each matrix. Identify the entry at each location of the matrix. Learning Objective: to multiply two matrices and to use matrix multiplication to solve mathematical and real-world problems. 2x4 3x2 0 -2 1
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  • Notes Ex 1 Use matrix multiplication to find the final score for a football team who scored 5 touchdowns, 4 extra points, and 2 field goals. Learning Objective: to multiply two matrices and to use matrix multiplication to solve mathematical and real-world problems. touch downs extra points field goals Point values 2 matrices can only be multiplied if the # of columns in the 1 st matrix = the # of rows in the 2 nd matrix 1x33x1= The dimensions of the result will be the # of rows by the # of columns! 1x1
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  • Learning Objective: to multiply two matrices and to use matrix multiplication to solve mathematical and real-world problems. Ex 2 Let a. Find JK (if possible) 2x2 b. Find KJ (if possible) 44
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  • Learning Objective: to multiply two matrices and to use matrix multiplication to solve mathematical and real-world problems. Ex 3 Let Find AB and BA (if possible) 2x32x2 ABNot possible!
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  • HW p. 229-231 #7-19 odd, 25 Out What is necessary for 2 matrices to be multiplied? Summary Today, I think POW!!

Warm Up Multiply. Write each fraction in simplest form. 1. 2.

Warm Up Multiply. Write each fraction in simplest form. 1. 2.

IB Project: Multiply and Divide Decimals … · IB Project: Multiply and Divide Decimals Show your level of understanding for multiplying and dividing decimals by completing each

IB Project: Multiply and Divide Decimals … · IB Project: Multiply and Divide Decimals Show your level of understanding for multiplying and dividing decimals by completing each

Hardware for Machine Learning - Cornell University · Deep learning and matrix-matrix multiply •Traditionally, the most costly operation for deep learning for both training and

Hardware for Machine Learning - Cornell University · Deep learning and matrix-matrix multiply •Traditionally, the most costly operation for deep learning for both training and

Double-Precision Matrix Multiply on CUDA · All matrices consist of double-precision oating point values (64-bit doubles). Parameters (grid/block size) and matrix size are chosen

Double-Precision Matrix Multiply on CUDA · All matrices consist of double-precision oating point values (64-bit doubles). Parameters (grid/block size) and matrix size are chosen

BASIC MATRIX OPERATIONS Mr. Velazquez Honors Precalculus · MATRIX MULTIPLICATION There are a few rules worth remembering when multiplying matrices: 1. We can only multiply two matrices

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Multiply Fractions Multiply the numerators. Multiply the denominators. Answer:

Multiply Fractions Multiply the numerators. Multiply the denominators. Answer:

Server-side Sparse Matrix Multiply in the Accumulo …...Graphulo-TableMult-1 Server-side Sparse Matrix Multiply in the Accumulo Database Dylan Hutchison12* Vijay Gadepally1* Jeremy

Server-side Sparse Matrix Multiply in the Accumulo …...Graphulo-TableMult-1 Server-side Sparse Matrix Multiply in the Accumulo Database Dylan Hutchison12* Vijay Gadepally1* Jeremy

Avoiding Communication in Sparse Matrix-Vector Multiply ( SpMV )

Avoiding Communication in Sparse Matrix-Vector Multiply ( SpMV )

MATRIX MULTIPLY WITH DRYAD B649 Course Project Introduction.

MATRIX MULTIPLY WITH DRYAD B649 Course Project Introduction.

Benchmarking Sparse Matrix-Vector Multiply In 5 Minutes

Benchmarking Sparse Matrix-Vector Multiply In 5 Minutes

What is PETSc? Why is it useful? Introduction ... main phases: Filling with ... Matrix Memory Preallocation ... Aside from matrix multiply, the nth iteration requires at most O(mn)

What is PETSc? Why is it useful? Introduction ... main phases: Filling with ... Matrix Memory Preallocation ... Aside from matrix multiply, the nth iteration requires at most O(mn)

Multiply and Divide Monomials - Effortless Math...Math Worksheets Name: _____ Date: _____ … So Much More Online! Please visit: Multiply and Divide Monomials Find each product. Math

Multiply and Divide Monomials - Effortless Math...Math Worksheets Name: _____ Date: _____ … So Much More Online! Please visit: Multiply and Divide Monomials Find each product. Math

Benchmarking Sparse Matrix-Vector Multiply (in just 5 … · Benchmarking Sparse Matrix-Vector Multiply In 5 Minutes Hormozd Gahvari, Mark Hoemmen, James Demmel, and Kathy Yelick

Benchmarking Sparse Matrix-Vector Multiply (in just 5 … · Benchmarking Sparse Matrix-Vector Multiply In 5 Minutes Hormozd Gahvari, Mark Hoemmen, James Demmel, and Kathy Yelick

back of 42 Convert each fraction to a decimal. Multiply

back of 42 Convert each fraction to a decimal. Multiply

4.1: Matrix Operations Objectives: Students will be able to: Add, subtract, and multiply a matrix by a scalar Solve Matrix Equations Use matrices to organize.

4.1: Matrix Operations Objectives: Students will be able to: Add, subtract, and multiply a matrix by a scalar Solve Matrix Equations Use matrices to organize.

Vectors, Matrices, Rotations - ccs.neu.edu fileBefore we go there – review of matrix transpose Question: and matrix multiplication… Can represent dot product as a matrix multiply:

Vectors, Matrices, Rotations - ccs.neu.edu fileBefore we go there – review of matrix transpose Question: and matrix multiplication… Can represent dot product as a matrix multiply:

Lecture 2: Tiling matrix-matrix multiply, code tuningbindel/class/cs5220-s10/...2.Matrix-vector multiply: n2 data, 2n2 flops 3.Matrix-matrix multiply: 2n2 data, 2n2 flops These are

Lecture 2: Tiling matrix-matrix multiply, code tuningbindel/class/cs5220-s10/...2.Matrix-vector multiply: n2 data, 2n2 flops 3.Matrix-matrix multiply: 2n2 data, 2n2 flops These are

SECTION 8.2: OPERATIONS WITH MATRICES - kkuniyuk.com · Matrix subtraction problems can be rewritten as matrix addition problems. Scalar multiplication: To multiply a matrix by a

SECTION 8.2: OPERATIONS WITH MATRICES - kkuniyuk.com · Matrix subtraction problems can be rewritten as matrix addition problems. Scalar multiplication: To multiply a matrix by a

OpenCL+APU+GPU+Fast Matrix Multiply - FastMMW

OpenCL+APU+GPU+Fast Matrix Multiply - FastMMW

Examples of Two- Dimensional Systolic Arrays. Obvious Matrix Multiply Rows of a distributed to each PE in row. Columns of b distributed to each PE in.

Examples of Two- Dimensional Systolic Arrays. Obvious Matrix Multiply Rows of a distributed to each PE in row. Columns of b distributed to each PE in.